255 citations · 1.7k across the 51 of their papers we have counts for
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Complete set of essential parameters of an effective theory
M. V. Ioffe, V. V. Vereshagin
The present paper continues the series [V. V. Vereshagin, True self-energy function and reducibility in effective scalar theories, Phys. Rev. D 89, 125022 (2014); A. Vereshagin and…
SUSY Method for the Three-Dimensional Schrödinger Equation with Effective Mass
M. V. Ioffe, E. V. Kolevatova, D. N. Nishnianidze
The three-dimensional Schrödinger equation with a position-dependent (effective) mass is studied in the framework of Supersymmetrical (SUSY) Quantum Mechanics. The general solution…
Solution of Second Order Supersymmetrical Intertwining Relations in Minkowski Plane
M. V. Ioffe, E. V. Kolevatova, D. N. Nishnianidze
Supersymmetrical (SUSY) intertwining relations are generalized to the case of quantum Hamiltonians in Minkowski space. For intertwining operators (supercharges) of second order in…
Three-Dimensional Shape Invariant Non-Separable Model With Equidistant Spectrum
M. S. Bardavelidze, F. Cannata, M. V. Ioffe +1
A class of three-dimensional models which satisfy supersymmetric intertwining relations with the simplest - oscillator-like - variant of shape invariance is constructed. It is prov…
General Solution of the Two-Dimensional Intertwining Relations for Supercharges with Hyperbolic (Lorentz) Metrics
M. S. Bardavelidze, M. V. Ioffe, D. N. Nishnianidze
The supersymmetrical intertwining relations are the most productive part of the supersymmetrical method in two-dimensional Quantum Mechanics. Most interesting are relations with hy…
Nonlinear Supersymmetric Quantum Mechanics: concepts and realizations
A. A. Andrianov, M. V. Ioffe
Nonlinear SUSY approach to preparation of quantum systems with pre-planned spectral properties is reviewed. Possible multidimensional extensions of Nonlinear SUSY are described. Th…
Supersymmetrical Separation of Variables for Scarf II Model: Partial Solvability
M. V. Ioffe, E. V. Krupitskaya, D. N. Nishnianidze
Recently, a new quantum model - two-dimensional generalization of the Scarf II - was completely solved analytically by SUSY method for the integer values of parameter. Now, the sam…
Analytical Solution of Two-Dimensional Scarf II Model by Means of SUSY Methods
M. V. Ioffe, E. V. Krupitskaya, D. N. Nishnianidze
New two-dimensional quantum model - the generalization of the Scarf II - is completely solved analytically for the integer values of parameter. This model being not amenable to con…
New Two-Dimensional Quantum Models with Shape Invariance
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
Two-dimensional quantum models which obey the property of shape invariance are built in the framework of polynomial two-dimensional SUSY Quantum Mechanics. They are obtained using…
New Exactly Solvable Two-Dimensional Quantum Model Not Amenable to Separation of Variables
M. V. Ioffe, D. N. Nishnianidze, P. A. Valinevich
The supersymmetric intertwining relations with second order supercharges allow to investigate new two-dimensional model which is not amenable to standard separation of variables. T…
Exactly Solvable Non-Separable and Non-Diagonalizable 2-Dim Model with Quadratic Complex Interaction
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
We study a quantum model with non-isotropic two-dimensional oscillator potential but with additional quadratic interaction with imaginary coupling constant. It is shown, t…
Three-Dimensional Solutions of Supersymmetrical Intertwining Relations and Pairs of Isospectral Hamiltonians
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
The general solution of SUSY intertwining relations for three-dimensional Schrödinger operators is built using the class of second order supercharges with nondegenerate constant me…
Two-dimensional Schrödinger Hamiltonians with Effective Mass in SUSY Approach
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
The general solution of SUSY intertwining relations of first order for two-dimensional Schrödinger operators with position-dependent (effective) mass is built in terms of four arbi…
Exact Solvability of Two-Dimensional Real Singular Morse Potential
M. V. Ioffe, D. N. Nishnianidze
The supersymmetric approach in the form of second order intertwining relations is used to prove the exact solvability of two-dimensional Schrodinger equation with generalized two-d…
A Class of Partially Solvable Two-Dimensional Quantum Models with Periodic Potentials
M. V. Ioffe, J. Mateos Guilarte, P. A. Valinevich
The supersymmetrical approach is used to analyse a class of two-dimensional quantum systems with periodic potentials. In particular, the method of SUSY-separation of variables allo…
Pseudo-Hermiticity of an Exactly Solvable Two-Dimensional Model
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
We study a two-dimensional exactly solvable non-Hermitian non-symmetric quantum model with real spectrum, which is not amenable to separation of variables, by supersymmetrical…
New Two-Dimensional Integrable Quantum Models from SUSY Intertwining
M. V. Ioffe, J. Negro, L. M. Nieto +1
Supersymmetrical intertwining relations of second order in the derivatives are investigated for the case of supercharges with deformed hyperbolic metric . Seve…
Two-Dimensional Supersymmetry: From SUSY Quantum Mechanics to Integrable Classical Models
M. V. Ioffe, J. Mateos Guilarte, P. A. Valinevich
Two known 2-dim SUSY quantum mechanical constructions - the direct generalization of SUSY with first-order supercharges and Higher order SUSY with second order supercharges - are c…
SUSY approach to Pauli Hamiltonians with an axial symmetry
M. V. Ioffe, S. Kuru, J. Negro +1
A two-dimensional Pauli Hamiltonian describing the interaction of a neutral spin-1/2 particle with a magnetic field having axial and second order symmetries, is considered. After s…
Exactly Solvable Two-Dimensional Complex Model with Real Spectrum
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
Supersymmetrical intertwining relations of second order in derivatives allow to construct a two-dimensional quantum model with complex potential, for which {\it all} energy levels…
Double Shape Invariance of Two-Dimensional Singular Morse Model
F. Cannata, M. V. Ioffe, D. N. Nishnianidze
A second shape invariance property of the two-dimensional generalized Morse potential is discovered. Though the potential is not amenable to conventional separation of variables, t…
New Two-Dimensional Quantum Models Partially Solvable by Supersymmetrical Approach
M. V. Ioffe, P. A. Valinevich
New solutions for second-order intertwining relations in two-dimensional SUSY QM are found via the repeated use of the first order supersymmetrical transformations with intermediat…
SUSY-Approach for Investigation of Two-Dimensional Quantum Mechanical Systems
M. V. Ioffe
Different ways to incorporate two-dimensional systems, which are not amenable to separation of variables, into the framework of Supersymmetrical Quantum Mechanics (SUSY QM) are ana…
Higher Order Matrix SUSY Transformations in Two-Dimensional Quantum Mechanics
F. Cannata, M. V. Ioffe, A. I. Neelov +1
The iteration procedure of supersymmetric transformations for the two-dimensional Schroedinger operator is implemented by means of the matrix form of factorization in terms of matr…