Supersymmetry and Quantum Mechanics

Abstract

In the past ten years, the ideas of supersymmetry have been profitably applied to many nonrelativistic quantum mechanical problems. In particular, there is now a much deeper understanding of why certain potentials are analytically solvable and an array of powerful new approximation methods for handling potentials which are not exactly solvable. In this report, we review the theoretical formulation of supersymmetric quantum mechanics and discuss many applications. Exactly solvable potentials can be understood in terms of a few basic ideas which include supersymmetric partner potentials, shape invariance and operator transformations. Familiar solvable potentials all have the property of shape invariance. We describe new exactly solvable shape invariant potentials which include the recently discovered self-similar potentials as a special case. The connection between inverse scattering, isospectral potentials and supersymmetric quantum mechanics is discussed and multi-soliton solutions of the KdV equation are constructed. Approximation methods are also discussed within the framework of supersymmetric quantum mechanics and in particular it is shown that a supersymmetry inspired WKB approximation is exact for a class of shape invariant potentials. Supersymmetry ideas give particularly nice results for the tunneling rate in a double well potential and for improving large $N$ expansions. We also discuss the problem of a charged Dirac particle in an external magnetic field and other potentials in terms of supersymmetric quantum mechanics. Finally, we discuss structures more general than supersymmetric quantum mechanics such as parasupersymmetric quantum mechanics in which there is a symmetry between a boson and a para-fermion of order $p$.

159 pages, figures and tables available by request LA-UR-94-569

References in corpus (8)

• New Eaxactly Solvable Hamiltonians: Shape Invariance and Self-Similarity
• New Shape Invariant Potentials in Supersymmetric Quantum Mechanics
• Bound States in the Continuum from Supersymmetric Quantum Mechanics
• Shape-invariant potentials and an associated coherent state
• Super Lax Pairs and Infinite Symmetries in The $1/r^2$ System
• Supersymmetry and a Time-Dependent Landau System
• SUSY-Based Variational Method for the Anharmonic Oscillator
• Is the Lowest Order Supersymmetric WKB Approximation Exact for All Shape Invariant Potentials ?

Cited by in corpus (1139)

• Quasinormal modes of black holes and black branes
• Non-Hermitian Physics
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• A "missing" family of classical orthogonal polynomials
• Instantons in QCD
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Topological Boundary Modes in Isostatic Lattices
• Quantum wave packet revivals
• A General Approach for the Exact Solution of the Schrodinger Equation
• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• Quasi-Normal Modes of Schwarzschild Anti-De Sitter Black Holes: Electromagnetic and Gravitational Perturbations
• Bound states of spatially dependent mass Dirac equation with the Eckart potential including Coulomb tensor interaction
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Classical and quantum shortcuts to adiabaticity for scale-invariant driving
• Infinitely many shape invariant potentials and new orthogonal polynomials
• Solutions of the nonrelativistic wave equation with position-dependent effective mass
• Deformed algebras, position-dependent effective masses and curved spaces: An exactly solvable Coulomb problem
• Features of Time-independent Wigner Functions
• Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study on the asymptotic behavior
• Construction of exact solutions to eigenvalue problems by the asymptotic iteration method
• Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
• sl(2, C) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
• Supersymmetric Optical Structures
• Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass
• Dirac oscillator with nonzero minimal uncertainty in position
• Algebraic Approach to Shape Invariance
• Supersymmetric mode converters
• Pseudo-Supersymmetric Quantum Mechanics and Isospectral Pseudo-Hermi tian Hamiltonians
• Exactly Solvable Quantum Mechanics and Infinite Families of Multi-indexed Orthogonal Polynomials
• Quantum Correction in Exact Quantization Rules
• Effective Tachyon Dynamics in Superstring Theory
• Any $l$-state solutions of the Hulthén potential by the asymptotic iteration method
• Propulsion of a domain wall in an antiferromagnet by magnons
• Emergence of supersymmetry at a critical point of a lattice model
• Fermion localization and resonances on two-field thick branes
• Supersymmetry without hermiticity
• Quantum Aspects of Semantic Analysis and Symbolic Artificial Intelligence
• Generalized Continuity Equation and Modified Normalization in PT-Symmetric Quantum Mechanics
• Supersymmetric SYK model and random matrix theory
• A general scheme for the effective-mass Schrodinger equation and the generation of the associated potentials
• Static response and Love numbers of Schwarzschild black holes
• Hamiltonian hierarchy and the Hulthen potential
• Arbitrary l-state solutions of the rotating Morse potential by the asymptotic iteration method
• Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics
• Supersymmetric approach to exactly solvable systems with position-dependent effective masses
• Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation
• Supersymmetric Laser Arrays
• First-order intertwining operators and position-dependent mass Schrodinger equations in d dimensions
• Self-isospectrality, special supersymmetry, and their effect on the band structure
• Bohr Hamiltonian with deformation-dependent mass term for the Kratzer potential
• Deformed Defects
• Supersymmetry-generated complex optical potentials with real spectra
• Exact solution for Morse oscillator in PT-symmetric quantum mechanics
• Exact solutions of effective-mass Schrodinger equations
• Lorentz-covariant deformed algebra with minimal length and application to the 1+1-dimensional Dirac oscillator
• Morse potential energy spectra through the variational method and supersymmetry
• A Holographic Framework for Eternal Inflation
• Electroweak Breaking on a Soft Wall
• Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
• Self-Isospectral Periodic Potentials and Supersymmetric Quantum Mechanics
• Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry
• A Quantum Exactly Solvable Nonlinear Oscillator with quasi-Harmonic Behaviour
• Bohr Hamiltonian with deformation-dependent mass term for the Davidson potential
• Baryon Spectrum from Superconformal Quantum Mechanics and its Light-Front Holographic Embedding
• Hidden supersymmetry in quantum bosonic systems
• Gravito-Electromagnetic Perturbations of Kerr-Newman Black Holes: Stability and Isospectrality in the Slow-Rotation Limit
• Invisibility in non-Hermitian tight-binding lattices
• The finite difference algorithm for higher order supersymmetry
• One-dimensional model of a quantum nonlinear harmonic oscillator
• Gauge-invariant fluctuations of scalar branes
• Nonlinear supersymmetry in Quantum Mechanics: algebraic properties and differential representation
• Non-Hermitian Hamiltonians with real and complex eigenvalues in a Lie-algebraic framework
• Ladder Symmetries of Black Holes: Implications for Love Numbers and No-Hair Theorems
• Quasi-normal modes of toroidal, cylindrical and planar black holes in anti-de Sitter spacetimes: scalar, electromagnetic and gravitational perturbations
• Nonlinear Supersymmetry for Spectral Design in Quantum Mechanics
• Shape invariance method for quintom model in the bent brane background
• Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schroedinger Hamiltonians
• Hamiltonian deformations in quantum mechanics, $T\bar{T}$, and SYK
• Two families of superintegrable and isospectral potentials in two dimensions
• Generalized Morse Potential: Symmetry and Satellite Potentials
• Shape invariant potentials with PT symmetry
• Accuracy of Semiclassical Methods for Shape Invariant Potentials
• An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry
• General Forms of a N-fold Supersymmetric Family
• Nonlinear Supersymmetry, Quantum Anomaly and Quasi-Exactly Solvable Systems
• Klein-Gordon equation particles in exponential-type molecule potentials and its thermodynamic properties in D- dimensions
• SUSY-inspired one-dimensional transformation optics
• New possibilities for supersymmetry breakdown in quantum mechanics and second order irreducible Darboux transformations
• Eigensolution techniques, their applications and the Fisher's information entropy of Tietz-Wei diatomic molecular model
• Complex Calogero model with real energies
• Complete random matrix classification of SYK models with $\mathcal{N}=0$, $1$ and $2$ supersymmetry
• The Higher Derivative Expansion of the Effective Action by the String Inspired Method. Part II
• Exact solutions of the modified Kratzer potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method
• The rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation: I. Bound states
• All about the Static Fermion Bags in the Gross-Neveu Model
• Brane Partons and Singleton Strings
• Higher-order SUSY, exactly solvable potentials, and exceptional orthogonal polynomials
• Orthogonal Polynomials from Hermitian Matrices
• The supersymmetric modified Poschl-Teller and delta-well potentials
• New Solvable and Quasi Exactly Solvable Periodic Potentials
• Biorthogonal Quantum Systems
• Aharonov-Bohm effect on AdS_2 and nonlinear supersymmetry of reflectionless Poschl-Teller system
• Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
• Variational Ansatz for PT-Symmetric Quantum Mechanics
• Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry
• Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules
• Krein-Adler transformations for shape-invariant potentials and pseudo virtual states
• Unified Theory of Annihilation-Creation Operators for Solvable (`Discrete') Quantum Mechanics
• Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey-Wilson polynomials
• Intertwined isospectral potentials in an arbitrary dimension
• Cheshire Cat resurgence, Self-resurgence and Quasi-Exact Solvable Systems
• Generating Complex Potentials with Real Eigenvalues in Supersymmetric Quantum Mechanics
• Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
• The Darboux transformation in black hole perturbation theory
• Lorentz-covariant deformed algebra with minimal length
• Cosmological perturbations from braneworld inflation with a Gauss-Bonnet term
• Stable localized modes in asymmetric waveguides with gain and loss
• Supersymmetry Across the Light and Heavy-Light Hadronic Spectrum
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Group theoretical approach to the intertwined Hamiltonians
• Relativistic shape invariant potentials
• Stabilizing Non-Hermitian Systems by Periodic Driving
• Exactly solvable `discrete' quantum mechanics; shape invariance, Heisenberg solutions, annihilation-creation operators and coherent states
• Remarks on supersymmetry of quantum systems with position-dependent effective masses
• Exactly Solvable Hydrogen-like Potentials and Factorization Method
• Spectrum of Cosmological Perturbations in the One-Bubble Open Universe
• Properties of the Exceptional ($X_{\ell }$) Laguerre and Jacobi Polynomials
• Non-Hermitian skin effect beyond the tight-binding models
• Supersymmetry of parafermions
• The Bogoliubov/de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry
• Masses and Thermodynamics Properties of Heavy Mesons in the Non-Relativistic Quark Model Using Nikiforov-Uvarov Method
• Algebraic Nature of Shape-Invariant and Self-Similar Potentials
• (Super)Oscillator on CP(N) and Constant Magnetic Field
• The Hulthen Potential in D-dimensions
• Deformed defects for scalar fields with polynomial interactions
• An Alternative Treatment for Yukawa-Type Potentials
• A perturbative treatment for the energy levels of neutral atoms
• Analytical solutions of the Schrödinger equation with the Woods-Saxon potential for arbitrary $l$ state
• Symmetry breaking of solitons in two-dimensional complex potentials
• PT-symetrically regularized Eckart,Poeschl-Teller and Hulthen potentials
• Arbitrary $\ell$-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a Class of Yukawa potentials
• More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum
• Infinitely many shape invariant potentials and cubic identities of the Laguerre and Jacobi polynomials
• $C_{\lambda }$-extended harmonic oscillator and (para)supersymmetric quantum mechanics
• Brownian motion of solitons in a Bose-Einstein Condensate
• Thick branes and Gauss-Bonnet self-interactions
• The ${}^{10}$Li spectrum and the ${}^{11}$Li properties
• The Spectrum of the Dirac Operator on Coset Spaces with Homogeneous Gauge Fields
• Supersymmetry and algebraic deformations
• The Darboux transformation and algebraic deformations of shape-invariant potentials
• Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators
• Intertwined Hamiltonians in Two Dimensional Curved Spaces
• Algebraic Shape Invariant Models
• Non-Hermitian supersymmetry and singular PT symmetrized oscillators
• Nonlinear holomorphic supersymmetry, Dolan-Grady relations and Onsager algebra
• Cyclic Shape Invariant Potentials
• $PT$-symmetric invisible defects and confluent Darboux-Crum transformations
• Less naive about supersymmetric lattice quantum mechanics
• Dirac quasinormal frequencies in Schwarzschild-AdS space-time
• Quantization rule solution to the Hulthén potential in arbitrary dimension by a new approximate scheme for the centrifugal term
• New approach to (quasi)-exactly solvable Schrodinger equations with a position-dependent effective mass
• Intersecting branes and a standard model realization in matrix models
• Novel Enlarged Shape Invariance Property and Exactly Solvable Rational Extensions of the Rosen-Morse II and Eckart Potentials
• Universal charge and current on magnetic domain walls in Weyl semimetals
• Nonlocal supersymmetric deformations of periodic potentials
• Finite-gap systems, tri-supersymmetry and self-isospectrality
• Observation of supersymmetric scattering in photonic lattices
• Newton's laws of motion in form of Riccati equation
• Comprehensive analysis of conditionally exactly solvable models
• On the nature of the conformable derivative and its applications to physics
• Remarks on bell-shaped lumps: stability and fermionic modes
• A class of N-body problems with nearest- and next-to-nearest neighbour interactions
• Uncertainties of predictions in models of eternal inflation
• Non-Hermitian Quantum Mechanics of Non-diagonalizable Hamiltonians: puzzles with self-orthogonal states
• Exact solution in the Heisenberg picture and annihilation-creation operators
• Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum Transformations
• A Formalism to Analyze the Spectrum of Brane World Scenarios
• Spectra of supersymmetric Yang-Mills quantum mechanics
• Non-Hermitian Hamiltonians with real eigenvalues coupled to electric fields: from the time-independent to the time dependent quantum mechanical formulation
• Supersymmetric Calogero-Moser-Sutherland models and Jack superpolynomials
• Superintegrability and higher order polynomial algebras I
• Modification of Crum's Theorem for `Discrete' Quantum Mechanics
• Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators
• Supersymmetry in carbon nanotubes in a transverse magnetic field
• Gravitational waves from brane-world inflation with induced gravity
• Exact solutions of the radial Schrodinger equation for some physical potentials
• Non-linear Supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians: I. General properties
• Unified treatment of the Coulomb and harmonic oscillator potentials in $D$ dimensions
• Pseudospin symmetry in supersymmetric quantum mechanics: II. Spin-orbit effects
• Any l-state analytical solutions of the Klein-Gordon equation for the Woods-Saxon potential
• Non-Hermitian Hamiltonian Deformations in Quantum Mechanics
• Effective Energy for QED${}_{2+1}$ with Semi-Localized Static Magnetic Fields: A Solvable Model
• Extended Supersymmetric Quantum Mechanics
• Quasi-normal modes of AdS black holes : A superpotential approach
• An alternative simple solution of the sextic anharmonic oscillator and perturbed Coulomb problems
• Complexified PSUSY and SSUSY interpretations of some PT-symmetric Hamiltonians possessing two series of real energy eigenvalues
• Nonlinear supersymmetry on the plane in magnetic field and quasi-exactly solvable systems
• New supersymmetry-generated complex potentials with real spectra
• Exact Thermodynamics of the Double sinh-Gordon Theory in 1+1-Dimensions
• Dirac(-Pauli), Fokker-Planck equations and exceptional Laguerre polynomials
• Bound State Wave Functions through the Quantum Hamilton - Jacobi Formalism
• Supersymmetry Across the Light and Heavy-Light Hadronic Spectrum II
• Necessity of PT symmetry for soliton families in one-dimensional complex potentials
• From Classical Nonlinear Integrable Systems to Quantum Shortcuts to Adiabaticity
• Effect of scalings and translations on the supersymmetric quantum mechanical structure of soliton systems
• Quasiparticle and Nonquasiparticle Transport in Doped Quantum Paraelectrics
• Three aspects of bosonized supersymmetry and linear differential field equation with reflection
• Discrete Quantum Mechanics
• Supersymmetry, Shape Invariance and Solvability of $A_{N-1}$ and $B{C}_N$ Calogero-Sutherland Model
• Phase operators, temporally stable phase states, mutually unbiased bases and exactly solvable quantum systems
• An update on PT-symmetric complexified Scarf II potential, spectral singularities and some remarks on the rationally-extended supersymmetric partners
• Position-dependent mass, finite-gap systems, and supersymmetry
• Semiclassical wave equation and exactness of the WKB method
• On the nature of fermion-monopole supersymmetry
• Charged skyrmions on the surface of a topological insulator
• Bohr Hamiltonian with deformation-dependent mass term
• Bloch oscillations in tight-binding lattices with defects
• Vanishing Love of Black Holes in General Relativity: From Spacetime Conformal Symmetry of a Two-dimensional Reduced Geometry
• Energy-momentum/Cotton tensor duality for AdS4 black holes
• Quasinormal spectra of scale-dependent Schwarzschild-de Sitter black holes
• Revisiting (quasi-)exactly solvable rational extensions of the Morse potential
• Dirac electron in graphene with magnetic fields arising from first-order intertwining operators
• Fermion Condensate and Vacuum Current Density Induced by Homogeneous and Inhomogeneous Magnetic Fields in (2+1)-Dimensions
• Coherent states for exactly solvable potentials
• Relativistic extension of the complex scaling method
• Periodic wave packet reconstruction in truncated tight-binding lattices
• Rationally-extended radial oscillators and Laguerre exceptional orthogonal polynomials in kth-order SUSYQM
• A Generalized Jaynes-Cummings Hamiltonian and Supersymmetric Shape-Invariance
• The origin of the hidden supersymmetry
• Vibrational and rotational excited states within Bohr Hamiltonian with deformation-dependent mass formalism
• Supersymmetric partners of the trigonometric Poschl-Teller potentials
• Supersymmetry in Quantum Mechanics
• Numerical Bootstrap in Quantum Mechanics
• Invisible defects in complex crystals
• On the distribution of the Wigner time delay in one-dimensional disordered systems
• Extra dimensions as an alternative to Higgs mechanism?
• Trends in supersymmetric quantum mechanics
• The quark mass dependence of the pion mass at infinite N
• Quasi-Exactly Solvable Potentials with Two Known Eigenstates
• Shape Invariant potentials depending on n parameters transformed by translation
• Non-Central Potentials, Exact Solutions and Laplace Transform Approach
• Extensions of solvable potentials with finitely many discrete eigenstates
• N-fold Supersymmetry and Quasi-solvability Associated with X_2-Laguerre Polynomials
• An Algebraic Construction of Generalized Coherent States for Shape-Invariant Potentials
• (1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: effectively PT-symmetric
• Non-equilibrium dynamics and $Ad{S}_4$ Robinson-Trautman
• Are N=1 and N=2 supersymmetric quantum mechanics equivalent?
• On form-preserving transformations for the time-dependent Schrödinger equation
• The anisotropic oscillator on curved spaces: A new exactly solvable model
• Fermion Resonances on a Thick Brane with a Piecewise Warp Factor
• Darboux Covariance: A Hidden Symmetry of Perturbed Schwarzschild Black Holes
• Extended Supersymmetries and the Dirac Operator
• Exact solution of Schrödinger equation with q-deformed quantum potentials using Nikiforov-Uvarov method
• Exactly Solvable Birth and Death Processes
• TASI lectures on complex structures
• Dynamical emergence of extra dimensions and warped geometries
• Construction of pseudo-bosons systems
• Magnetic field barriers in graphene: an analytically solvable model
• Super-Klein tunneling of Dirac fermions through electrostatic gratings in graphene
• Super-Calogero-Moser-Sutherland systems and free super-oscillators : a mapping
• Kratzer's molecular potential in quantum mechanics with a generalized uncertainty principle
• Notes on Matrix Models
• N=8 supersymmetric mechanics on special Kähler manifolds
• New Two-Dimensional Quantum Models Partially Solvable by Supersymmetrical Approach
• PT symmetry of a conditionally exactly solvable potential
• Exceptional Askey-Wilson type polynomials through Darboux-Crum transformations
• Exact solution of the Schrödinger equation for a short-range exponential potential with inverse square root singularity
• New Families of Isospectral Hydrogen-like potentials
• Recipes for Oscillon Longevity
• Supersymmetry and Singular Potentials
• Supersymmetric Quantum Mechanics with Reflections
• Phase equivalent potentials for three-body halos
• Domain wall generation by fermion self-interaction and light particles
• Stability of naked singularities and algebraically special modes
• Optical Supersymmetry in the Time Domain
• Supersymmetry Breaking in Low Dimensional Models
• Potentials with Two Shifted Sets of Equally Spaced Eigenvalues and Their Calogero Spectrum
• Orthogonal Polynomials from Hermitian Matrices II
• Nonabelian solutions in AdS_4 and d=11 supergravity
• Generalized coherent and intelligent states for exact solvable quantum systems
• Morse potential and its relationship with the Coulomb in a position-dependent mass background
• Exact Solvability of Two-Dimensional Real Singular Morse Potential
• Quadratic Algebra Approach to an Exactly Solvable Position-Dependent Mass Schrödinger Equation in Two Dimensions
• Jacobi photonic lattices and their SUSY partners
• Statistical Properties of the Reflectance and Transmittance of an Amplifying Random Media
• Metastable states, transitions, basins and borders at finite temperatures
• $\eta$-weak-Pseudo-Hermiticity generators and exact solvability
• Supersymmetric twisting of carbon nanotubes
• Relativistic supersymmetric quantum mechanics based on Klein-Gordon equation
• Zero modes of six-dimensional Abelian vortices
• The Scattering amplitude for Newly found exactly solvable Potential
• Recurrence Relations of the Multi-Indexed Orthogonal Polynomials
• Algebraic solutions of shape-invariant position-dependent effective mass systems
• Remarks on exact solvability of quantum systems with spatially varying effective mass
• On integral and differential representations of Jordan chains and the confluent supersymmetry algorithm
• The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
• Quasi-exact solvability of Dirac equation with Lorentz scalar potential
• PT-Symmetric Non-Hermitian Quantum Field Theories with Supersymmetry
• Darboux transformation for a general Dirac equation in two dimensions
• Position Dependent Mass Schroedinger Equation and Isospectral Potentials : Intertwining Operator approach
• Exact Witten Index in D=2 supersymmetric Yang-Mills quantum mechanics
• Sound from extra dimension: quasinormal modes of thick brane
• Bent waveguides for matter-waves: supersymmetric potentials and reflectionless geometries
• L2 series solution of the relativistic Dirac-Morse problem for all energies
• Quantum Mechanical Symmetries and Topological Invariants
• Large deviations of the Lyapunov exponent in 2D matrix Langevin dynamics with applications to one-dimensional Anderson Localization models
• Shape Invariance in the Calogero and Calogero-Sutherland Models
• Periodic Potentials and Supersymmetry
• Parametric symmetries in exactly solvable real and P T symmetric complex potentials
• Quarkonium spectroscopy of the linear plus modified Yukawa potential
• Glueballs and deconfinement temperature in AdS/QCD
• Self-adjoint extensions and SUSY breaking in Supersymmetric Quantum Mechanics
• Loosely bound three-body nuclear systems in the J-matrix approach
• Pseudospin, supersymmetry and the shell structure of atomic nuclei
• Statistical Mechanics of Double sinh-Gordon Kinks
• Harmonic oscillator with minimal length, minimal momentum, and maximal momentum uncertainties in SUSYQM framework
• Supersymmetric polarization anomaly in photonic discrete-time quantum walks
• Heavy-Light Mesons in the Non-Relativistic Quark Model Using Laplace Transformation Method
• Stability of Scalar Fields in Warped Extra Dimensions
• Construction of zero energy states in graphene through the supersymmetry formalism
• Chiral asymmetry in propagation of soliton defects in crystalline backgrounds
• Majorana Fermion Rides on a Magnetic Domain Wall
• WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild Black Hole Spacetimes
• Fractional supersymmetry and hierarchy of shape invariant potentials
• Supersymmetry breaking in two dimensions: the lattice N=1 Wess-Zumino model
• Shape invariance, raising and lowering operators in hypergeometric type equations
• Complete Set of Inner Products for a Discrete PT-symmetric Square-well Hamiltonian
• Isospectrality of spherical MHD dynamo operators: pseudo-Hermiticity and a no-go theorem
• Moving solitons in a one-dimensional fermionic superfluid
• Systematic Search of Exactly Solvable Non-Central Potentials
• Photonic systems with two-dimensional landscapes of complex refractive index via time-dependent supersymmetry
• Matrix superpotentials
• Bound State Solution of the Klein-Fock-Gordon equation with the Hulthén plus a Ring-Shaped like potential within SUSY quantum mechanics
• Stability of matter-wave solitons in a density-dependent gauge theory
• Pole-skipping of gravitational waves in the backgrounds of four-dimensional massive black holes
• Fermionic Kaluza-Klein modes in the string-cigar braneworld
• A note on the Woods-Saxon potential
• Supersymmetry in the nonsupersymmetric Sachdev-Ye-Kitaev model
• Methods for Generating Quasi-Exactly Solvable Potentials
• Quantization and Conformal Properties of a Generalized Calogero Model
• Point Canonical Transformation versus Deformed Shape Invariance for Position-Dependent Mass Schrödinger Equations
• Generalized Spin and Pseudo-Spin Symmetry: Relativistic Extension of Supersymmetric Quantum Mechanics
• Broken Supersymmetric Shape Invariant Systems and Their Potential Algebras
• Graded extension of SO(2,1) Lie algebra and the search for exact solutions of Dirac equation by point canonical transformations
• Exact solutions of Dirac and Schrodinger equations for a large class of power-law potentials at zero energy
• Time evolution in the Morse potential using supersymmetry: dissociation of the NO molecule
• Confluent Crum-Darboux transformations in Dirac Hamiltonians with $PT$-symmetric Bragg gratings
• Nonequilibrium diffusion processes via non-Hermitian electromagnetic quantum mechanics with application to the statistics of entropy production in the Brownian gyrator
• Dynamical evolution of the electromagnetic perturbation with Weyl corrections
• Transmutations of supersymmetry through soliton scattering, and self-consistent condensates
• Superintegrable and shape invariant systems with position dependent mass
• The Electron Propagator in External Electromagnetic Fields in Lower Dimensions
• New conditionally exactly solvable inverse power law potentials
• Twisted kinks, Dirac transparent systems and Darboux transformations
• Renormalization Group Flows from D=3, N=2 Matter Coupled Gauged Supergravities
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Gravitational resonances on $f(T)$-branes
• Dirac Hamiltonian in a supersymmetric framework
• Ground-state isolation and discrete flows in a rationally extended quantum harmonic oscillator
• Analytical Solutions Of The Schrödinger Equation For The Hulthén Potential Within SUSY Quantum Mechanics
• Coherent states of P{ö}schl-Teller potential and their revival dynamics
• Analytical solutions of the Schrödinger equation with the Manning-Rosen potential plus a Ring-Shaped like potential
• Exact solutions of the sextic oscillator from the bi-confluent Heun equation
• Extending Romanovski polynomials in quantum mechanics
• Quantum revivals and carpets in some exactly solvable systems
• Comment on "Position-dependent effective mass Dirac equations with PT- symmetric and non - PT- symmetric potentials" [J. Phys. A: Math. Gen. 39 (2006) 11877--11887]
• SUSY-Based Variational Method for the Anharmonic Oscillator
• Landau levels, self-adjoint extensions and Hall conductivity on a cone
• Family of dilatons and metrics for AdS/QCD models
• N-fold Supersymmetry for a Periodic Potential
• Dirac equation with coupling to 1/r singular vector potentials for all angular momenta
• Solutions of N-dimensional Schrödinger Equation with Morse Potential Via Laplace Transforms
• A BPS Interpretation of Shape Invariance
• The Constraints and Spectra of a Deformed Quantum Mechanics
• Supersymmetric Bragg gratings
• Supersymmetry and the relationship between a class of singular potentials in arbitrary dimensions
• Exact equivalence between one-dimensional Bose gases interacting via hard-sphere and zero-range potentials
• New exact treatment of the perturbed Coulomb interactions
• Matching method and exact solvability of discrete PT-symmetric square wells
• Minimal bosonization of double-graded supersymmetric quantum mechanics
• The Scattering amplitude for one parameter family of shape invariant potentials related to Xm Jacobi polynomials
• A Novel Multi-parameter Family of Quantum Systems with Partially Broken N-fold Supersymmetry
• Super-extended noncommutative Landau problem and conformal symmetry
• Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems
• The initial value problem for linearized gravitational perturbations of the Schwarzschild naked singularity
• Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States
• Master equations and stability of Einstein-Maxwell-scalar black holes
• The Scattering amplitude for Rationally extended shape invariant Eckart potentials
• An introduction to PT-symmetric quantum mechanics -- time-dependent systems
• Self-isospectral tri-supersymmetry in PT-symmetric quantum systems with pure imaginary periodicity
• Localisation and mass generation for non-Abelian gauge fields
• On the quantum spectrum of isochronous potentials
• Completeness of Coherent States Associated with Self-Similar Potentials and Ramanujan's Integral Extension of the Beta Function
• Third-order relativistic hydrodynamics: dispersion relations and transport coefficients of a dual plasma
• Application of conditional shape invariance symmetry to obtain the eigen-spectrum of the mixed potential V (r) = ar + br^2 + c/r + l(l+1)/r^2
• The confluent supersymmetry algorithm for Dirac equations with pseudoscalar potentials
• One-dimensional Schrödinger equation with non-analytic potential $V(x)=-g^2\exp (-|x|)$ and its exact Bessel-function solvability
• The partnership of potentials in Quantum Mechanics and Shape Invariance
• Darboux-integration of idρ/dt=[H,f(ρ)]
• ${\mathbb{Z}}_2^n$-Graded extensions of supersymmetric quantum mechanics via Clifford algebras
• Geometric phases for generalized squeezed coherent states
• Analytical bound state solutions of the Dirac equation with the Hulthén plus a class of Yukawa potential including a Coulomb-like tensor interaction
• Coherent states of nonlinear oscillators with position-dependent mass: the temporal stability and fractional revivals
• An Algebraic q-Deformed Form for Shape-Invariant Systems
• Relativistic quantum dynamics of spin-0 massive charged particle in the presence of external fields in 4D curved space-time with a cosmic string
• Quantum mechanical analogy and supersymmetry of electromagnetic wave modes in planar waveguides
• Semi-exact solutions of the Razavy potential
• Neutrino Quasinormal Modes of a Kerr-Newman-de Sitter Black Hole
• Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry
• Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential is studied to get real and Supersymmetric Solution of PT-/Non-PT-Symmetric and Non-Hermitian Morse Potential via Hamiltonian Hierarchy Method
• Inflating baby-Skyrme branes in six dimensions
• Generalized Supersymmetric Perturbation Theory
• SUSY-hierarchy of one-dimensional reflectionless potentials
• Group theoretic approach to rationally extended shape invariant potentials
• Exact L2 series solution of the Dirac-Coulomb problem for all energies
• Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics
• K-field kinks in two-dimensional dilaton gravity
• Supersymmetric quantum mechanics on noncommutative space
• The normalized energy eigenspinors of the Dirac field on anti-de Sitter spacetime
• On Exactness Of The Supersymmetric WKB Approximation Scheme
• Morse potential, symmetric Morse potential and bracketed bound-state energies
• Quasi Exactly Solvable Difference Equations
• Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics
• Bohr Hamiltonian with a deformation-dependent mass term: physical meaning of the free parameter
• Supersymmetric Fokker-Planck strict isospectrality
• Supersymmetric variational energies for the confined Coulomb system
• Scattering Amplitudes for Multi-indexed Extensions of Solvable Potentials
• Exact solutions of Dirac equation on a 2D gravitational background
• Self-Consistent Large-$N$ Analytical Solutions of Inhomogneous Condensates in Quantum $\mathbb{C}{P}^{N-1}$ Model
• New Solvable Singular Potentials
• Supersymmetric Method for Constructing Quasi-Exactly and Conditionally-Exactly Solvable Potentials
• Stability of six-dimensional hyperstring braneworlds
• Orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics
• Systematic calculation of molecular vibrational spectra through a complete Morse expansion
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• Statistical Origin of Pseudo-Hermitian Supersymmetry and Pseudo-Hermitian Fermions
• Unwinding Fermionic SPT Phases: Supersymmetry Extension
• Eisenhart--Duval lift for minisuperspace quantum cosmology
• Quasi-exact Solvability of the Pauli Equation
• Single- and coupled-channel radial inverse scattering with supersymmetric transformations
• Sweetest taboo processes
• A Complete Spectral Analysis of the Jackiw-Rebbi Model, Including its Zero Mode
• N-fold Supersymmetry in Quantum Mechanics - Analyses of Particular Models -
• Infinite families of (non)-Hermitian Hamiltonians associated with exceptional $X_m$ Jacobi polynomials
• Generalized quantum isotonic nonlinear oscillator in d dimensions
• PT - symmetrized supersymmetric quantum mechanics
• Prime Suspects in a Quantum Ladder
• Exact solutions for vibrational levels of the Morse potential via the asymptotic iteration method
• Spiked potentials and quantum toboggans
• New Two-Dimensional Integrable Quantum Models from SUSY Intertwining
• Real spectra for non-Hermitian Dirac equation in 1+1 dimensions with a most general coupling
• Pseudo supersymmetric partners for the generalized Swanson model
• Quaternion Dirac Equation and Supersymmetry
• Non-commutative Supersymmetric Quantum Mechanics
• Mode-division (de)multiplexing using adiabatic passage and supersymmetric waveguides
• Classification of Multidimensional Darboux Transformations: First Order and Continued Type
• The generalized zero-mode supersymmetry scheme and the confluent algorithm
• Dirac bound states of anharmonic oscillator in external fields
• An application of supersymmetric quantum mechanics to a planar physical system
• Spin-3/2 fields in $D$-dimensional Schwarzschild black hole space-times
• Nonlinear Holomorphic Supersymmetry on Riemann Surfaces
• Prepotential approach to exact and quasi-exact solvabilities
• Recursive Representation of Wronskians in Confluent Supersymmetric Quantum Mechanics
• Transparency at the interface between two isospectral crystals
• Classical and quantum higher order superintegrable systems from coalgebra symmetry
• A Class of Partially Solvable Two-Dimensional Quantum Models with Periodic Potentials
• Coherent States for Isospectral Hamiltonians
• Multi-Spin Giants
• A class of exactly solvable rationally extended non-central potentials in Two and Three Dimensions
• Quantum isotonic nonlinear oscillator as a Hermitian counterpart of Swanson Hamiltonian and pseudo-supersymmetry
• Hyperconfluent third-order supersymmetric quantum mechanics
• Hidden symmetries of rationally deformed superconformal mechanics
• Arbitrary $\ell$-state solutions of the Klein-Gordon equation with the Eckart plus a class of Yukawa potential and its non-relativistic thermal properties
• Gravitational resonances on $f(R)$-brane
• Magnon dynamics in a Skyrmion-textured domain wall of antiferromagnets
• Symmetrized quartic polynomial oscillators and their partial exact solvability
• The rotating Morse potential model for diatomic molecules in the J-matrix representation: II. The S-matrix approach
• Quaternionic Formulation of Supersymmetric Quantum Mechanics
• Supersymmetry identifies molecular Stark states whose eigenproperties can be obtained analytically
• Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators
• Non linear pseudo-bosons versus hidden Hermiticity. II: The case of unbounded operators
• $K$-field kinks: stability, exact solutions and new features
• Klein four-group and Darboux duality in conformal mechanics
• Supersymmetric Dirac-Hamiltonians in $(1+1)$ dimensions revisited
• Bound states of the $D$-dimensional Schrödinger equation for the generalized Woods-Saxon potential
• Scattering amplitudes for the rationally extended P T symmetric complex potentials
• Supersymmetry "protected" topological phases of isostatic lattices and kagome antiferromagnets
• Fermion in a multi-kink-antikink soliton background, and exotic supersymmetry
• Supersymmetric quantum mechanics with Levy disorder in one dimension
• Unified theory of exactly and quasi-exactly solvable `Discrete' quantum mechanics: I. Formalism
• Exact supersymmetry in the relativistic hydrogen atom in general dimensions -- supercharge and the generalized Johnson-Lippmann operator
• Factorization and superpotential of the PT symmetric Hamiltonian
• Anomalous doublets of states in a PT symmetric quantum model
• Continuous families of isospectral Heisenberg spin systems and the limits of inference from measurements
• Quantum mechanical spectral engineering by scaling intertwining
• Coherent States for Transparent Potentials
• Two-Dimensional Supersymmetry: From SUSY Quantum Mechanics to Integrable Classical Models
• Sine-square deformation and supersymmetric quantum mechanics
• Supersymmetric and Shape-Invariant Generalization for Nonresonant and Intensity-Dependent Jaynes-Cummings Systems
• Brane-worlds and theta-vacua
• Elements of (super-)Hamiltonian Formalism
• Analytical solution of $D$ dimensional Schrödinger equation for Eckart potential with a new improved approximation in centrifugal term
• The fate of the zero mode of the five-dimensional kink in the presence of gravity
• Supersymmetric partners of the harmonic oscillator with an infinite potential barrier
• The Dirac Equation in (1+2)-dimensional Gürses space-time backgrounds
• Quasinormal modes of a massless Dirac field in de Rham-Gabadadze-Tolley massive gravity
• Novel discrete symmetries in the general N = 2 supersymmetric quantum mechanical model
• A Group-Theoretical Method for Natanzon Potentials in Position-Dependent Mass Background
• Supersymmetry of a spin 1/2 particle on the real line
• Can degenerate bound states occur in one dimensional quantum mechanics?
• (Quasi)-exactly solvable quasinormal modes
• Quantum Dot Potentials: Symanzik Scaling, Resurgent Expansions and Quantum Dynamics
• Duality and Central Charges in Supersymmetric Quantum Mechanics
• A new family of shape invariantly deformed Darboux-Pöschl-Teller potentials with continuous \ell
• Supersymmetry and eigensurface topology of the planar quantum pendulum
• Induced Variational Method from Supersymmetric Quantum Mechanics and the Screened Coulomb Potential
• Quasi-Exactly Solvable Potentials with Three Known Eigenstates
• Supersymmetric quantum mechanics on the lattice: I. Loop formulation
• Generic matrix superpotentials
• Supersymmetric Chern-Simons Vortex Systems and Extended Supersymmetric Quantum Mechanics Algebras
• Zero-energy states for a class of quasi-exactly solvable rational potentials
• The Relativistic Bound States of a Non Central Potential
• Comment on "Supersymmetry and Singular Potentials" by Das and Pernice [Nucl. Phys. B 561 (1999) 357]
• Hidden superconformal symmetry: Where does it come from?
• Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems
• Quasinormal frequencies of asymptotically anti-de Sitter black holes in two dimensions
• Supersymmetric quantum mechanics and coherent states for a deformed oscillator with position-dependent effective mass
• Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
• Simple unified derivation and solution of Coulomb, Eckart and Rosen-Morse potentials in prepotential approach
• Bootstrapping Simple QM Systems
• One-parameter family of closed, radiation-filled Friedmann-Robertson-Walker ``quantum'' universes
• Tunneling between the giant gravitons in AdS5 x S5
• Supersymmetric factorization yields exact solutions to the molecular Stark effect problem for "stretched" states
• Dunkl-Supersymmetric Orthogonal functions associated with classical orthogonal polynomials
• Quasinormal modes and echoes of a double braneworld
• Hidden superconformal symmetry of spinless Aharonov-Bohm system
• Global Solutions of Certain Second-Order Differential Equations with a High Degree of Apparent Singularity
• Generalization of the Darboux transformation and generalized harmonic oscillators
• Quantum star-graph analogues of PT-symmetric square wells
• Coordinate Realizations of Deformed Lie Algebras with Three Generators
• Kinks in higher derivative scalar field theory
• On the SO(9) structure of supersymmetric Yang-Mills quantum mechanics
• Charged spin 1/2 particle in an arbitrary magnetic field in two spatial dimensions: a supersymmetric quantum mechanical system
• Position-dependent mass Dirac equation and local Fermi velocity
• Barrier Penetration for Supersymmetric Shape-Invariant Potentials
• Schwarzian derivative treatment of the quantum second-order supersymmetry anomaly, and coupling-constant metamorphosis
• Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons
• PT-symmetric supersymmetry in a solvable short-range model
• Toward the Quantum Design of Multichannel Systems (The Inverse Problem Approach)
• Quantum cosmological intertwining: Factor ordering and boundary conditions from hidden symmetries
• A unidirectional invisible PT-symmetric complex crystal with arbitrary thickness
• Peculiarities of the hidden nonlinear supersymmetry of Poschl-Teller system in the light of Lame equation
• Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures
• Conformal bridge transformation and PT symmetry
• New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
• Non-compact spectral triples with finite volume
• Continuous supersymmetric transformations in optical waveguides
• Coherent and squeezed states: introductory review of basic notions, properties and generalizations
• New Quasi Exactly Solvable Difference Equation
• Supersymmetric Quantum Mechanics of Scattering
• A pedestrian introduction to coherent and squeezed states
• Supersymmetric Oscillator: Novel Symmetries
• Supersymmetric Quantum Mechanics for String-Bits
• Tensor Perturbations from Brane-World Inflation with Curvature Effects
• Supersymmetry and eigensurface topology of the spherical quantum pendulum
• Novel symmetries in N = 2 supersymmetric quantum mechanical models
• Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
• Fully resonant scalars on asymptotically AdS wormholes
• Supersymmetric Many-Body Systems from Partial Symmetries: Integrability, Localization and Scrambling
• Collective modes of a soliton train in a Fermi superfluid
• Classical trajectories and quantum supersymmetry
• Supersymmetry in Closed Chains of Coupled Majorana Modes
• Mapping of shape invariant potentials by the point canonical transformation
• Exactly solvable systems and the Quantum Hamilton-Jacobi formalism
• Recurrence Relations of the Multi-Indexed Orthogonal Polynomials IV : closure relations and creation/annihilation operators
• Exact solution of generalized Dirac oscillator in electric field
• Dirac-Weyl equation on a hyperbolic graphene surface under perpendicular magnetic fields
• SUSY partners of the truncated oscillator, Painlevé transcendents and Bäcklund transformations
• Magnon-induced non-Markovian friction of a domain wall in a ferromagnet
• Ren-integrable and ren-symmetric integrable systems
• Topological Symmetries
• Quasi-exactly solvable Fokker-Planck equations
• On the propagation of Dirac fermions in graphene with the strain-induced inhomogeneous Fermi velocity
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• The su(1,1) Dynamical Algebra for the Generalized MICZ-Kepler Problem from the Schrödinger Factorization
• A symmetry breaking mechanism for selecting the speed of relativistic solitons
• Entanglement dualities in supersymmetry
• Supersymmetric Quantum Mechanics under Point Singularities
• A Free N = 2 Supersymmetric System: Novel Symmetries
• Mapping of non-central potentials under point canonical transformations
• Exact propagators for SUSY partners
• On the generalized unitary parasupersymmetry algebra of Beckers-Debergh
• Boundary supersymmetry of 1+1 d fermionic SPT phases
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
• A surprise in mechanics with nonlinear chiral supermultiplet
• A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems
• Existence of Different Intermediate Hamiltonians in Type A N-fold Supersymmetry
• New solutions for graphene with scalar potentials by means of generalized intertwining
• Propagator of the lattice domain wall fermion and the staggered fermion
• Stability of kinklike structures in generalized models
• Conditionally Exactly Solvable Potentials and Supersymmetric Transformations
• Oscillator-Morse-Coulomb mappings and algebras for constant or position-dependent mass
• Minimal Length Uncertainty Relations and New Shape Invariant Models
• Normal modes for two-dimensional gravitating kinks
• N=0 Supersymmetry and the Non-Relativistic Monopole
• PT-symmetric regularizations in supersymmetric quantum mechanics
• Supersymmetric quantum mechanical generalized MIC-Kepler system
• Scalar perturbation of gravitating double-kink solutions
• Shape Invariant Potentials in Supersymmetric Quantum Cosmology
• Milne quantization for non-Hermitian systems
• SUSY Transformations for Quasinormal Modes of Open Systems
• Nonlinear supersymmetry: from classical to quantum mechanics
• Polynomial algebras from $su(3)$ and the generic model on the two sphere
• Factorization of nonlinear supersymmetry in one-dimensional Quantum Mechanics. I: general classification of reducibility and analysis of the third-order algebra
• From Supersymmetric Quantum Mechanics to Scalar Field Theories
• Gray-body factor and absorption of the Dirac field in ESTGB gravity
• Characteristic modes of thick brane model: resonances and quasinormal modes
• New Two-Dimensional Quantum Models with Shape Invariance
• Mechanics of a ferromagnetic domain wall
• Quasi-Hermitian supersymmetric extensions of a non-Hermitian oscillator Hamiltonian and of its generalizations
• One-Dimensional Disordered Supersymmetric Quantum Mechanics: A Brief Survey
• Deformed shape invariance symmetry and potentials in curved space with two known eigenstates
• Coherent states for the supersymmetric partners of the truncated oscillator
• Conditional quasi-exact solvability of the quantum planar pendulum and of its anti-isospectral hyperbolic counterpart
• 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum
• Quasiclassical Analysis of the Three-dimensional Shredinger's Equation and its Solution
• Eigenspectra and Statistical Properties of the Klein-Gordon Equation with Cornell Potential: Unequal Mixings of Scalar and Time-Like Vector Potentials
• Excited states of odd-mass nuclei with different deformation-dependent mass coefficients
• Majorana neutrinos with point interactions
• Poeschl-Teller paradoxes
• Separable wave equations for gravitoelectromagnetic perturbations of rotating charged black strings
• A QES Band-Structure Problem in One Dimension
• The su(1,1) dynamical algebra from the Schrödinger ladder operators for N-dimensional systems: hydrogen atom, Mie-type potential, harmonic oscillator and pseudo-harmonic oscillator
• Classical-quantum correspondence for shape-invariant systems
• Laplace-Runge-Lenz vector with spin in any dimension
• Generalization of SUSY Intertwining Relations: New Exact Solutions of Fokker-Planck Equation
• Localized Fermions on Domain Walls and Extended Supersymmetric Quantum Mechanics
• Exact treatment of $\ell \ne 0$ states
• Study of Quarkonium properties using SUSYQM method with baryonic chemical potential
• A New Algebraic Approach to Perturbation Theory
• Wide Localized Solitons in Systems with Time and Space-Modulated Nonlinearities
• An Approach To Potential Scattering
• Supersymmetric Monopole Quantum Mechanics on Sphere
• su(1,1) Algebraic approach of the Dirac equation with Coulomb-type scalar and vector potentials in D + 1 dimensions
• Characters, quasinormal modes, and Schwinger pairs in $d{S}_2$ with flux
• Generalized Ladder Operators for Shape-invariant Potentials
• Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime
• Symmetric Tops Subject to Combined Electric Fields: Conditional Quasi-Solvability via the Quantum Hamilton-Jacobi Theory
• Generalized Morse and Poschl-Teller potentials : The connection via Schrodinger equation
• Riccati-parameter solutions of nonlinear second-order ODEs
• Deformed Morse-like potential
• Nambu-Jona Lasinio and Nonlinear Sigma Models in Condensed Matter Systems
• Factorization approach for barotropic FRW model with a cosmological constant
• Direct computational approach to lattice supersymmetric quantum mechanics
• New Exactly Solvable Isospectral Partners for PT Symmetric Potentials
• Large deviations for the Pearson family of ergodic diffusion processes involving a quadratic diffusion coefficient and a linear force
• Analytic Expression for Exact Ground State Energy Based on an Operator Method for a Class of Anharmonic Potentials
• Holographic Walking Technicolor and Stability of Techni-Branes
• Kink solutions in generalized 2D dilaton gravity
• Algebraic evaluation of matrix elements in the Laguerre function basis
• Singular Pöschl-Teller II potentials and gravitating kinks
• Hidden symmetry and (super)conformal mechanics in a monopole background
• Supersymmetrization of Quaternion Dirac Equation for Generalized Fields of Dyons
• A chain of solvable non-Hermitian Hamiltonians constructed by a series of metric operators
• Generalized Ladder Operators for the Dirac-Coulomb Problem via SUSY QM
• A new look at nuclear supersymmetry though transfer experiments
• Confluence of apparent singularities in multi-indexed orthogonal polynomials: the Jacobi case
• Reflectionless PT-symmetric potentials in the one-dimensional Dirac equation
• Symmetry properties of the large-scale solar magnetic field
• Deconstructing non-Dirac-hermitian supersymmetric quantum systems
• Massive gravitons trapped inside a hypermonopole
• Quasinormal modes of a two-dimensional black hole
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Dirac equation in low dimensions: The factorization method
• $\mathcal{P}\mathcal{T}$ symmetric models with nonlinear pseudo supersymmetry
• Connection between type B (or C) and F factorizations and construction of algebras
• A new simple class of superpotentials in SUSY Quantum Mechanics
• Fermions on wobbling kinks: normal versus quasinormal modes
• Exact propagators for complex SUSY partners of real potentials
• Photon-added coherent states for shape invariant systems
• Bound State Solutions of Klein-Gordon Equation with the Kratzer Potential
• Applying Rule Ensembles to the Search for Super-Symmetry at the Large Hadron Collider
• A unified approach for exactly solvable potentials in quantum mechanics using shift operators
• Shape Invariance and Its Connection to Potential Algebra
• Exact \textit{pp}-waves, (A)dS waves and Kundt spaces in the Abelian-Higgs model
• Exploring Supersymmetry: Interchangeability Between Jaynes-Cummings and Anti-Jaynes-Cummings Models
• Matrix Superpotential Linear in Variable Parameter
• Symmetrized exponential oscillator
• SU(2) Symmetry and Degeneracy From SUSY QM of a Neutron in the Magnetic Field of a Linear Current
• Supersymmetry in the Majorana Cooper-Pair Box
• PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework
• Hierarchy of QM SUSYs on a Bounded Domain
• The supercharge and superconformal symmetry for N=1 supersymmetric quantum mechanics
• One-Dimensional Quantum Systems with Ground-State of Jastrow Form Are Integrable
• Magnon spectrum in ferromagnets with a skyrmion
• Gravitational bouncing of a quantum ball: Room for Airy's function Bi
• A Novel SUSY Energy Bound States Treatment of the Klein-Gordon Equation with PT-Supersymmetric and q-Deformed Hulthen Potential
• Quasinormal modes and black hole hairs in AdS
• Singular solutions of Yang-Mills equations and bag model
• Gravity effects on thick brane formation from scalar field dynamics
• Odd-dimensional de Sitter Space is Transparent
• Perturbed Poeschl-Teller oscillators
• Connection between closeness of classical orbits and the factorization of radial Schrödinger equation
• L2 series solutions of the Dirac equation for power-law potentials at rest mass energy
• Revisiting boundary-driven non-equilibrium Markov dynamics in arbitrary potentials via supersymmetric quantum mechanics and explicit large deviations at various levels
• Metastable gravity on classical defects
• Supersymmetry-enhanced Stark-Chirped Rapid-Adiabatic-Passage in multimode optical waveguides
• Supersymmetric correspondence in spectra on a graph and its line graph: From circuit theory to spoof plasmons on metallic lattices
• Polynomial algebras of superintegrable systems separating in Cartesian coordinates from higher order ladder operators
• Quasi-exactly solvable symmetrized quartic and sextic polynomial oscillators
• Supersymmetry in 6d Dirac Action
• Isospectral Hamiltonian for position-dependent mass for an arbitrary quantum system and coherent states
• A New Two-Parameter Family of Potentials with a Tunable Ground State
• Algebraic approach for shape invariant potentials in Klein-Gordon equation
• Supersymmetric quantum mechanics with nonlocal potentials
• Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions
• Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty
• On the 3n+l Quantum Number in the Cluster Problem
• Isospectrality and configurational entropy as testing tools for bottom-up AdS/QCD
• Supersymmetric non-Hermitian topological interface laser
• Two-dimensional Schrödinger Hamiltonians with Effective Mass in SUSY Approach
• Complex Supersymmetry in Graphene
• One loop renormalization of soliton quantum mass corrections in (1+1)-dimensional scalar field theory models
• On the Scalar Potential Models from the Isospectral Potential Class
• Breakup of SUSY Quantum Mechanics in the Limit-Circle Region of the Reflective Kratzer Oscillator
• Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator
• Pauli equation on noncommutative plane and the Seiberg-Witten map
• Closed analytical solutions of the d-dimensional Schrödinger equation with deformed Woods-Saxon potential plus double ring-shaped potential
• Hidden symmetries for transparent de Sitter space
• Exploring Branched Hamiltonians for a Class of Nonlinear Systems
• Deriving approximate functionals with asymptotics
• Exactly solvable potentials with finitely many discrete eigenvalues of arbitrary choice
• Energy spectra of Hartmann and ring-shaped oscillator potentials using the quantum Hamilton-Jacobi formalism
• Equidistance of the Complex 2-Dim Anharmonic Oscillator Spectrum: Exact Solution
• On the exactly-solvable semi-infinite quantum well of the non-rectangular step-harmonic profile
• Ritus functions for graphene-like systems with magnetic fields generated by first-order intertwining operators
• Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems
• The von Neumann-Wigner type potentials and the wave functions' asymptotics for the discrete levels in continuum
• Hypergeometric type operators and their supersymmetric partners
• Equivalent Hermitian operator from supersymmetric quantum mechanics
• Topological edge states in a Rydberg composite
• Spectral Signatures of Non-Trivial Topology in a Superconducting Circuit
• Factorization of non-linear supersymmetry in one-dimensional Quantum Mechanics. II: proofs of theorems on reducibility
• Quasinormal ringing of thick braneworlds with a finite extra dimension
• Integrability in Perturbed Black Holes: Background Hidden Structures
• Global Defects in Field Theory with Applications to Condensed Matter
• Controlling quantum state transfer in spin chain with the confined field
• Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models
• Quantum dynamics in potentials with fast spatial oscillations
• Stability of new exact solutions of the nonlinear Schrodinger equation in a Poschl-Teller external potential
• An Elliptic Triptych
• Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schroedinger equation
• Existence of Different Intermediate Hamiltonians in Type A N-fold Supersymmetry II. The N=3 Case
• On the Statistical Origin of Topological Symmetries
• Second-order Supersymmetric Operators and Excited States
• Shape invariance through Crum transformation
• Motion of a spin 1/2 particle in shape invariant scalar and magnetic fields
• Supersymmetry and Nuclear Pairing
• Supersymmetry of a Nonstationary Pauli Equation
• Symmetry breaking in competing single-well linear-nonlinear potentials
• $1+1$-dimensional Dirac oscillator with deformed algebra with minimal uncertainty in position and maximal in momentum
• So (2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation
• Conditionally exactly solvable potential and dual transformation in quantum mechanics
• Bound states and the potential parameter spectrum
• Bound States of Majorana Fermions in Semi-classical Approximation
• Emergent Supersymmetry in Warped Backgrounds
• SUSY shields the scaling symmetry of conformal quantum mechanics
• Generalized Uncertainty principle and momentum-dependent effective mass Schrodinger equation
• Aspects of Localized Gravity Around the Soft Minima
• Nonlinear supersymmetry as a hidden symmetry
• $\mathcal{N}=2$ supersymmetry and anisotropic scale invariance
• Delocalized spectra of Landau operators on helical surfaces
• Solvable Discrete Quantum Mechanics: q-Orthogonal Polynomials with |q|=1 and Quantum Dilogarithm
• A Moments' Analysis of Quasi-Exactly Solvable Systems: A New Perspective on the Sextic Anharmonic and Bender-Dunne Potentials
• Late time dynamics in SUSY saddle-dominated scrambling through higher-point OTOC
• Graphene Dirac fermions in symmetric electric and magnetic fields: the case of an electric square well
• Lattice study of supersymmetry breaking in N=2 supersymmetric quantum mechanics
• Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems I. General Formalism and Second Order
• Reducibility and bosonization of parasupersymmetric and orthosupersymmetric quantum mechanics
• Classification of Darboux transformations for operators of the form ${\partial }_x{\partial }_y+a{\partial }_x+b{\partial }_y+c$
• Exactly solvable models of supersymmetric quantum mechanics and connection to spectrum generating algebra
• Eigenvalue problems for the complex PT-symmetric potential V(x)= igx
• Atomic Collapse in Graphene: Lost of Unitarity
• A class of exactly solvable models for the Schrodinger equation
• Exactly solvable piecewise analytic double well potential $V_D(x)=min[(x+d{)}^2,(x-d{)}^2]$ and its dual single well potential $V_S(x)=max[(x+d{)}^2,(x-d{)}^2]$
• From Scalar Field Theories to Supersymmetric Quantum Mechanics
• Generalized Lennard-Jones Potentials, SUSYQM and Differential Galois Theory
• Von Neumann equations with time-dependent Hamiltonians and supersymmetric quantum mechanics
• Non-Hermitian Hamiltonian versus E=0 localized states
• Magnonics along the wall in Bimeron Chain Domain Walls
• Supersymmetrization of the Franke-Gorini-Kossakowski-Lindblad-Sudarshan equation
• Dirac Fermions in Non-trivial Topology Black Hole Backgrounds
• On the exact solubility in momentum space of the trigonometric Rosen-Morse potential
• Shape invariance and the exactness of quantum Hamilton-Jacobi formalism
• An extended scenario for the Schrodinger equation
• Novel connection between lump-like structures and quantum mechanics
• Is Supersymmetric Quantum Mechanics compatible with Duality
• Harmonic Oscillator with a Step and its Isospectral Properties
• Stability Equation and Two-Component Eigenmode for Domain Walls in a Scalar Potential Model
• Duality and four-dimensional black holes: gravitational waves, algebraically special solutions, pole skipping, and the spectral duality relation in holographic thermal CFTs
• A search on the Klein-Gordon equation
• Solvable PT symmetric Hamiltonians
• Infinite families of position-dependent mass Schrödinger equations with known ground and first excited states
• Thermodynamic properties of the trigonometric Rosen-Morse potential and applications to a quantum gas of mesons
• On Dirac theory in the space with deformed Heisenberg algebra. Exact solutions
• Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations
• Equivalence of two alternative approaches to Schrodinger equations
• Supersymmetric isospectral formalism for the calculation of near-zero energy states: application to the very weakly bound ${}^4$He trimer excited state
• Quantized representation of some nonlinear integrable evolution equations on the soliton sector
• Deformed Geometric Algebra and Supersymmetric Quantum Mechanics
• Distortion of a Phase Space Under the Darboux Transformation
• General approach to potentials with two known levels
• Displaced harmonic oscillator $V\sim \min [(x+d{)}^2,(x-d{)}^2]$ as a benchmark double-well quantum model
• Families of exact solutions of a 2D gravity model minimally coupled to electrodynamics
• Supersymmetric reshaping and higher-dimensional rearrangement of photonic lattices
• Chiral super-Tremblay-Turbiner-Winternitz Hamiltonians and their dynamical superalgebra
• Free Form of the Foldy-Wouthuysen Transformation in External Electromagnetic Fields
• Supersymmetric approach to exact solutions of $(1+1)$-dimensional time-independent Klein-Gordon equation : Application to a position-dependent mass and a $\mathcal{P}\mathcal{T}$-symmetric vector potential
• An Algebraic Method for the Analytical Solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials
• Exact results for the infinite supersymmetric extensions of the infinite square well
• On the ladder operators and nonclassicality of generalized coherent state associated with a particle in an infinite square well
• Super-Lagrangian and variational principle for generalized continuity equations
• Optical ladder operators in the Glauber-Fock oscillator array
• Coupled Supersymmetry and Ladder Structures Beyond the Harmonic Oscillator
• The solutions of Dirac equation on the hyperboloid under perpendicular magnetic fields
• Conditioning diffusion processes with respect to the local time at the origin
• New Implicitly Solvable Potential Produced by Second Order Shape Invariance
• Perturbations around the zeros of classical orthogonal polynomials
• Off-shell duality invariance of Schwarzschild perturbation theory
• Supersymmetric quantum mechanics living on topologically nontrivial Riemann surfaces
• Higher Order Supersymmetric Truncated Oscillators
• Extended supersymmetry with central charges in Dirac action with curved extra dimensions
• Two-Dimensional Supersymmetric Quantum Mechanics: Two Fixed Centers of Force
• Two-field models in the presence of impurities
• Implementing supersymmetric dynamics in ultracold atom systems
• The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach
• Planar Supersymmetric Quantum Mechanics of a Charged Particle in an External Electromagnetic Field
• New families of non-parity-time-symmetric complex potentials with all-real spectra
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• A New Class of Solvable Two-dimensional Scalar Potentials for Graphene
• 2 and 3-dimensional Hamiltonians with Shape Invariance Symmetry
• New identities from quantum-mechanical sum rules of parity-related potentials
• Super-Symmetry transformation for excitation processes
• A Quantum Mechanical Model of Spherical Supermembranes
• Supersymmetry, half-bound states, and grazing incidence reflection
• A Relation Between $Z_3$-Graded Symmetry and Shape Invariant Supersymmetric Systems
• Classical vs Quantum Mechanics: role of elementary excitations
• Supersymmetric Partners of the One-Dimensional Infinite Square Well Hamiltonian
• Quasinormal modes for integer and half-integer spins within the large angular momentum limit
• Shape invariance in prepotential approach to exactly solvable models
• Infinite square-well, trigonometric Pöschl-Teller and other potential wells with a moving barrier
• A novel connection between scalar field theories and quantum mechanics
• Supersymmetric one-parameter strict isospectrality for the attractive delta potentials
• Supersymmetry and Supercoherent States of a Nonrelativistic Free Particle
• Numerical analyses of N=2 supersymmetric quantum mechanics with cyclic Leibniz rule on lattice
• An optimized algebraic basis for molecular potentials
• Three-Dimensional Solutions of Supersymmetrical Intertwining Relations and Pairs of Isospectral Hamiltonians
• Deformed Clifford algebra and supersymmetric quantum mechanics on a phase space with applications in quantum optics
• Topological Phase Transition in a Molecular Hamiltonian with Symmetry and Pseudo-Symmetry, Studied through Quantum, Semi-Quantum and Classical Models
• Exactly solvable inhomogeneous fermion systems
• Elementary doublets of bound states of the radial Dirac equation
• A supersymmetric exotic field theory in (1+1) dimensions. One loop soliton quantum mass corrections
• Exactly and quasi-exactly solvable `discrete' quantum mechanics
• Study of the Spin-weighted Spheroidal Equation in the Case of s=1
• A quantum description of bubble growth in a superheated fluid
• Non-hermitian integrable systems from constant non-invertible solutions of the Yang-Baxter equation
• Stability of exact solutions of the nonlinear Schroedinger equation in an external potential having supersymmetry and parity-time symmetry
• Vacuum Structure of Two-Dimensional ${\varphi }^4$ Theory on the Orbifold $S^1/Z_2$
• Quantization Ambiguity and Supersymmetric Ground State Wave Functions
• The Generalized PT-Symmetric Sinh-Gordon Potential Solvable within Quantum Hamilton-Jacobi Formalism
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• Quasinormal modes and holographic correlators in a crunching AdS geometry
• Solution of the Dirac equation with non-minimal coupling to noncentral three-vector potential
• Shape invariance in phase space
• Resummed Wentzel-Kramers-Brillouin Series: Quantization and Physical Interpretation
• Time-dependent Darboux transformation and supersymmetric hierarchy of Fokker-Planck equations
• Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates
• Liouville invariance in quantum and classical mechanics
• From orthosymplectic structure to super topological matter
• Topological origin of quantum mechanical vacuum transitions and tunneling
• Is the Nicolai map unique?
• Superconducting Cosmic Strings and One Dimensional Extended Supersymmetric Algebras
• Family number, Wilson line phases and hidden supersymmetry
• Study of resonance states of ${}^{11}$Be with isospectral bound state microscopic potential
• On solvable Dirac equation with polynomial potentials
• Riemann zeros as quantized energies of scattering with impurities
• Revisiting the Symmetries of the Quantum Smorodinsky-Winternitz System in D Dimensions
• Algebraic Shape Invariant Potentials as the Generalized Deformed Oscillator
• Double complex SUSY-transformations: deformations of real potentials and their spectral characteristics
• Two-dimensional Fokker-Planck solutions and Grassmann variables
• Non-linear Schr$\ddot{o}$dinger equation with time-dependent balanced loss-gain and space-time modulated non-linear interaction
• Quasinormal modes of RN black hole space time with cosmic string in a Dirac field
• Instanton-Induced Supersymmetry Breaking in Topological Semimetals
• Flyby-induced displacement: analytic solution
• Entanglement Degree of Parasupersymmetric Coherent States of Harmonic Oscillator
• Singular factorizations, self-adjoint extensions, and applications to quantum many-body physics
• Non-isospectral Hamiltonians, intertwining operators and hidden hermiticity
• Simultaneous Type A N-fold Supersymmetry with Two Different Values of N
• Linearly stable and unstable complex soliton solutions with real energies in the Bullough-Dodd model
• Displacement Memory Effect from Supersymmetry
• New type of exact solvability and of a hidden nonlinear dynamical symmetry in anharmonic oscillators
• On the Kemeny time for continuous-time reversible and irreversible Markov processes with applications to stochastic resetting and to conditioning towards forever-survival
• SWKB Quantization Condition for Conditionally Exactly Solvable Systems and the Residual Corrections
• On a polynomial transformation of hypergeometric equations, Heun's differential equation and exceptional Jacobi polynomials
• Quasinormal frequencies of a two-dimensional asymptotically anti-de Sitter black hole of the dilaton gravity theory
• Non-polynomial extensions of solvable potentials a la Abraham-Moses
• An Introduction to the Inverse Quantum Bound State Problem in One Dimension
• Massive photons in particle and laser physics
• Dynamical and invariant supersymmetry in the fermion pairing problem
• Quantum entanglement, supersymmetry, and the generalized Yang-Baxter equation
• The exact description of NS5-branes in the Penrose limit
• Entanglement, Superselection Rules and Supersymmetric Quantum Mechanics
• Dynamics of Majorana fermions in two-dimensions
• PP-waves from rotating and continuously distributed D3-branes
• Axial and polar modes for the ring down of a Schwarzschild black hole with an r dependent mass-function
• Stochastic analysis & discrete quantum systems
• Extended supersymmetry with central charges in higher dimensional Dirac action
• Response of exact solutions of the nonlinear Schrodinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry
• Algebraic Description of Shape Invariance Revisited
• Brane structure and metastable graviton in five-dimensional model with (non)canonical scalar field
• Reflectionless Potentials for Difference Schrödinger Equations
• Extended multi-scalar field theories in (1+1) dimensions
• Dynamical symmetry of a semiconfined harmonic oscillator model with a position-dependent effective mass
• Supersymmetric Dynamical Invariants
• Isospectral and square root Cholesky photonic lattices
• Time-dependent massless Dirac fermions in graphene
• Hypercomplex Fock States for Discrete Electromagnetic Schrödinger Operators: A Bayesian Probability Perspective
• Transparency in nonlinear frequency conversion
• Supersymmetric solutions of PT-/non-PT-symmetric and non-Hermitian Screened Coulomb potential via Hamiltonian hierarchy inspired variational method
• Supersymmetrically bounding of asymmetric states and quantum phase transitions by anti-crossing of symmetric states
• Simultaneous Ordinary and Type A N-fold Supersymmetries in Schroedinger, Pauli, and Dirac Equations
• Supersymmetry-assisted high-fidelity ground state preparation of single neutral atom in an optical tweezer
• On the classical dynamics of charged particle in special class of spatially non-uniform magnetic field
• Linear and nonlinear dynamics of isospectral granular chains
• Entangled states in supersymmetric quantum mechanics
• On the phase-integral method for the radial Dirac equation
• Dual photons and gravitons
• Energy-level crossings and number-parity effects in a bosonic tunneling model
• Prepotential approach to quasinormal modes
• Growth over time-correlated disorder: a spectral approach to Mean-field
• Exact solvability of PDM systems with extended Lie symmetries
• Exact solutions of Dirac equation on (1+1)-dimensional spacetime coupled to a static scalar field
• Exactly Solvable Quantum Mechanics
• Solvable Two-dimensional Dirac Equation with Matrix Potential: Graphene in External Electromagnetic Field
• Phase diagrams of quasinormal frequencies for Schwarzschild, Kerr, and Taub-NUT black holes
• New integrability case for the Riccati equation
• Markov generators as non-hermitian supersymmetric quantum Hamiltonians: spectral properties via bi-orthogonal basis and Singular Value Decompositions
• Mapping of Two-Dimensional Schrödinger Equation under the Point Transformation
• SIP-potentials and self-similar potentials of Shabat and Spiridonov: space asymmetric deformation
• SUSY QM Meets 5d Gravity
• Supersymmetric Quantum Mechanics, multiphoton algebras and coherent states
• Intrinsic Classes in the Union of European Football Associations Soccer Team Ranking
• Hamiltonian Truncation Study of Supersymmetric Quantum Mechanics: S-Matrix and Metastable States
• Quantum equivalent of the Bertrand's theorem
• Generalized Liénard systems and isochronous connections
• Conformal Scale Factor Inversion for Domain Walls and Holography
• A Note on Shape Invariant Potentials for Discretized Hamiltonians
• Supersymmetric Klein-Gordon and Dirac oscillators
• An alternative solution of Diatomic Molecules
• Graviton confinement inside hypermonopoles of any dimension
• Superalgebras for the Penning Trap
• In the quest for a global (super)symmetry breaking mechanism: an extension of the vibronic mixing process to superpartners
• Probing Non-perturbative Supersymmetry Breaking through Lattice Path Integrals
• Linked $\mathcal{P}\mathcal{T}$-symmetry to Supersymmetry in a class of non-Hermitian Hamiltonians
• Exact Christoffel-Darboux Expansions: A New, Multidimensional, Algebraic, Eigenenergy Bounding Method
• Separability of the Planar $1/{\rho }^2$ Potential In Multiple Coordinate Systems
• Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. I. Two-Dimensional Model
• Ladder Operators and Hidden Algebras for Shape Invariant Nonseparable and Nondiagonalizable Modelswith Quadratic Complex Interaction. II. Three-Dimensional Model
• A supersymmetric quantum perspective on the explicit large deviations for reversible Markov jump processes, with applications to pure and random spin chains
• Supersymmetric Quantum Mechanics, Engineered Hierarchies of Integrable Potentials, and the Generalised Laguerre Polynomials
• Cohomological Operators and Covariant Quantum Superalgebras
• Studies of low-energy effective actions in supersymmetric field theories
• Shape-Invariance and Many-Body Physics
• An affine Weyl group characterization of polynomial Heisenberg algebras
• Supersymmetry in Quantum Mechanics of Colored Particles
• A Supersymmetric Approach to the Problem of Micro-bending Attenuation in Optical Waveguides
• Soliton Stability in a Generalized Sine-Gordon Potential
• Interpolation of SUSY quantum mechanics
• Transparent lattices and their solitary waves
• Supersymmetric Quantum Potentials Analogs of Classical Electrostatic Fields
• Superevolution
• The Higgs oscillator on the hyperbolic plane and Light-Front Holography
• Double-Janus Linear Sigma Models and Generalized Reciprocity for Gauss Sums
• Localized Fermions on Superconducting Domain Walls and Extended Supersymmetry with non-trivial Topological Charges
• New Objects in Scattering Theory with Symmetries
• Baxter T-Q Equation for Shape Invariant Potentials. The Finite-Gap Potentials Case
• Iso-spectral potential and inflationary quantum cosmology
• On integrable rational potentials of the Dirac equation
• Zig-zag-matrix algebras and solvable quasi-Hermitian quantum models
• Deuteron-equivalent and phase-equivalent interactions within light nuclei
• Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials
• Some Properties of the Shape Invariant Two-Dimensional Scarf II Model
• Morse Potential on a Quantum Computer for Molecules and Supersymmetric Quantum Mechanics
• Semiclassical analysis of Wigner functions
• On the Road Towards the Quantum Geometer's Universe: An Introduction to Four-Dimensional Supersymmetric Quantum Field Theories
• Shapes and speeds of forced premixed flames
• Revealing a quantum feature of dimensionless uncertainty in linear and quadratic potentials by changing potential intervals
• Applications of Partial Supersymmetry
• The Response to a Perturbation in the Reflection Amplitude
• On the Hamilton-Jacobi method in classical and quantum nonconservative systems
• Shape-invariance and Exactly Solvable Problems in Quantum Mechanics
• Volkov-Pankratov states on the edge of a quantum spin Hall system
• Phase transitions in quantum tunneling and quasi-exact solvability for a family of parametric double-well potentials
• Revisiting Novel Symmetries in Coupled $\mathcal{N}=2$ Supersymmetric Quantum Systems: Examples and Supervariable Approach
• Asymptotics of eigenvalue sums when some turning points are complex
• Formulae for the Derivative of the Poincaré Constant of Gibbs Measures
• Exact solution of a generalized version of the Black-Scholes equation
• Fermions in a Reissner-Nordström-anti-de Sitter Black Hole Background and $N=4$ Supersymmetry with non-trivial Topological Charges
• Nonrelativistic spin 1/2 particle in an arbitrary non-Abelian magnetic field in two spatial dimensions
• New two-parametric family of exactly solvable Dirac Hamiltonians
• Central Charge Extended Supersymmetric Structures for Fundamental Fermions Around non-Abelian Vortices
• A Semiclassical Approach to Level Crossing in Supersymmetric Quantum Mechanics
• Bootstrapping Shape Invariance: Numerical Bootstrap as a Detector of Solvable Systems
• Numerical solution of the Schrodinger equation for types of Woods-Saxon potential
• Supersymmetric Quantum Mechanics and Path Integrals
• SUSY a consequence of smoothness?
• Spherical Harmonics $Y_l^m(\theta ,\varphi )$: Positive and Negative Integer Representations of su(1,1) for l-m and l+m
• Supersymmetric Quantum Mechanics on a noncommutative plane through the lens of deformation quantization
• A Note on Fermion and Gauge Couplings in Field Theory Models for Tachyon Condensation
• Completeness of Energy Eigenfunctions for the Reflectionless Potential in Quantum Mechanics
• Pseudospin symmetry: Recent progress with supersymmetric quantum mechanics
• Supersymmetric techniques applied to the Jacobi equation
• Quantum control and quantum speed limits in supersymmetric potentials
• Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential
• One-loop quantum cosmological correction to the gravitational constant using the kink solution in de Sitter universe
• Quantum Interactions of Topological Solitons from Electrodynamics
• Classical analog of extended phase space SUSY and its breaking
• Disconjugacy, regularity of multi-indexed rationally-extended potentials, and Laguerre exceptional polynomials
• Periodic systems in time: double-well potential
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes
• Lessons from $O(N)$ models in one dimension
• Power-Duality in Path Integral Formulation of Quantum Mechanics
• Spectral intertwining relations in exactly solvable quantum-mechanical systems
• Almost-zero-energy Eigenvalues of Some Broken Supersymmetric Systems
• General realization of N=4 supersymmetric quantum mechanics and its applications
• Non-locality of energy separating transformations for Dirac electrons in a magnetic field
• Energy States of Colored Particle in a Chromomagnetic Field
• Lattice oscillator model, scattering theory and a many-body problem
• Spectral Functions of Singular Operators
• Free Oscillator Realization of the Laguerre Polynomial
• Propagators of Generalized Schrödinger Equations Related by Higher-Order Supersymmetry
• q-Deformed Kink Solutions
• Toward Quantum Analog Simulation of Many-Body Supersymmetry with Rydberg Atom Arrays
• One-dimensional inverse power reflectionless potentials
• Unconventional supersymmetric quantum mechanics in spin systems
• Exact solution to Fick-Jacobs equation
• Switching Boundary Conditions in the Many-Body Diffusion Algorithm
• Exactly Solvable Sextic Potential Having Symmetric Triple-Well Structure
• Solitons in lattice field theories via tight-binding supersymmetry
• QCD_{1+1} with Static Quarks as Supersymmetric Quantum Mechanics
• Possible confinement mechanisms for nonrelativistic particles on a line
• Planarizable Supersymmetric Quantum Toboggans
• A Venn diagram for supersymmetric, exactly solvable, shape invariant, and Infeld-Hull factorizable potentials
• PT-symmetry and Integrability
• Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator
• Revisiting an isospectral extension of the Morse potential
• Removing grazing incidence reflection with half-bound states and non-Hermitian systems
• On the decrease of the number of bound states with the increase of the angular momentum
• Exact electronic bands for a periodic Poschl-Teller potential
• Stochastic isocurvature constraints for axion dark matter with high-scale inflation
• Solution of Second Order Supersymmetrical Intertwining Relations in Minkowski Plane
• Strong parameter renormalization from optimum lattice model orbitals
• Parent Hamiltonians of Jastrow Wavefunctions
• Equatorial magnetoplasma waves
• Infinite families of shape invariant potentials with n parameters subject to translation
• Freezable bound states in the continuum for time-dependent quantum potentials
• Deformed Shape Invariant Superpotentials in Quantum Mechanics and Expansions in Powers of $\hslash$
• Anisotropy and asymptotic degeneracy of the physical-Hilbert-space inner-product metrics in an exactly solvable crypto-unitary quantum model
• Coherent states of the two-dimensional non-separable supersymmetric Morse potential
• Lie Symmetry, discrete symmetry and supersymmetry of the Pauli Hamiltonian
• Multi-Species Anyons Supersymmetry on Two-Dimensional Space
• Composition of Two Potentials
• On the SUSY structure of spherically symmetric Pauli Hamiltonians
• Isospectral oscillators as a resource for quantum information processing
• Meissner Effect from Landau Problem
• Multi-well potentials and extended supersymmetric quantum mechanics
• Nonequilibrium many-body dynamics in supersymmetric quenching
• Global Symmetries of Quaternion-K$\ddot{\mathbf{a}}$hler $\mathcal{N}=4$ Supersymmetric Mechanics
• Scattering, bound states, and resonances in the one-dimensional Dirac equation via supersymmetric quantum mechanics
• Spectral and thermodynamic properties of supersymmetric quantum systems with self-adjoint deformed momentum
• One-loop quantum cosmological correction to the gravitational constant in the closed Friedmann-Robertson-Walker universe
• Scale Invariance Breaking and Discrete Phase Invariance in Few-Body Problems
• Numerical study of the SWKB condition of novel classes of exactly solvable systems
• Perfect Quantum State Revivals: Designing Arbitrary Potentials with Specified Energy Levels
• Gravitational Bound State Perturbations Inside Black Holes and Isospectrality
• Krylov Complexity Under Hamiltonian Deformations and Toda Flows
• Almost local integrable models from supersymmetry algebras
• The Yukawa interaction in ordinary quantum mechanics
• Quasi-isospectral higher-order Hamiltonians via a reversed Lax pair construction
• Landau levels of a Dirac electron in graphene from non-uniform magnetic fields
• Solution of quantum eigenvalue problems by means of algebraic consistency conditions
• Scalar field stochastic dynamics in de Sitter spacetime from exact solutions of quantum deficient oscillators
• Search of a general form of superpotential in hierarchy with discrete energy spectrum
• Shape Invariant Potential and Semi-Unitary Transformations (SUT) for Supersymmetric Harmonic Oscillator in T4-Space
• Dynamical symmetries of supersymmetric oscillators
• Higher order intertwining approach to quasinormal modes
• On evolutionary processes in large N quantum mechanics
• SUSY-Extended Field Theory
• Special functions, raising and lowering operators
• Tropical Mirror
• SUSY hierarchies of Jaynes-Cummings Hamiltonians with different detuning parameters
• Associated special functions and coherent states
• Invisible nuclear system
• Systems of orthogonal polynomials defined by hypergeometric type equations
• Extended supersymmetry in Dirac action with extra dimensions
• Short-range oscillators in power-series picture
• Survey of Nodeless Regular Almost-Everywhere Holomorphic Solutions for Exactly Solvable Gauss-Reference Liouville Potentials on the Line I.Subsets of Nodeless Jacobi-Seed Solutions Co-Existent with Discrete Energy Spectrum
• Extended Jahn-Teller effects in fermion-boson systems revisited
• Kinks in two-dimensional Anti-de Sitter Space
• Periodic revivals from supersymmetry in a fermionic kinetically constrained model
• New exactly solvable reflectionless potentials of Gamov's type
• Spectral Problems for Quasinormal Modes of Black Holes
• Stochastic quantization approach to modeling of constrained Ito processes in discrete time
• Factorization solution of Cariñena's quantum nonlinear oscillator
• Affine Quantization of the Harmonic Oscillator on the Semi-bounded domain $(-b,\infty )$ for $b:0\to \infty$
• Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms
• Quantum-tunneling transitions and exact statistical mechanics of bistable systems with parametrized Dikandé-Kofané double-well potentials
• Exotic Newton-Hooke group, noncommutative plane and superconformal symmetry
• Remarks on sine-Gordon kink--fermion system: localized modes and scattering
• Conformal bridge transformation, $\mathcal{P}\mathcal{T}$- and super- symmetry
• The third five-parametric hypergeometric quantum-mechanical potential
• Phenomenology of extra quarks at the LHC
• Dirac systems with magnetic field and position dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators
• Extended Supersymmetries and 2+1 Dimensional Supersymmetric Chern Simons Theories
• On Matrix Superpotential and Three-Component Normal Modes
• Normalization of the Ground State of the Supersymmetric Harmonic Oscillator
• Exactly-solvable quantum systems in terms of Lambert-W functions
• Charge oscillations in a simple model of interacting magnetic orbits
• Linear Optical Approach to Supersymmetric Dynamics
• SL(3,C) structure of one-dimensional Schrödinger equation
• Ultrafast amplification and non-linear magneto-elastic coupling of coherent magnon modes in an antiferromagnet
• $\mathcal{P}\mathcal{T}$-Supersymmetric Square Well and Barrier
• Symmetries and Supersymmetries of Generalized Schrödinger equations
• Fluctuation-dissipation supersymmetry
• Riemann Hypothesis, Modified Morse Potential and Supersymmetric Quantum Mechanics
• Coupled $\mathcal{N}$ = 2 supersymmetric quantum systems: symmetries and supervariable approach
• Construction of non-PT-symmetric complex potentials with all-real spectra
• Quasi-exactly solvable Schrödinger equations, symmetric polynomials, and functional Bethe ansatz method
• Hidden symmetries and nonlinear (super)algebras