Remark on quantum mechanics with N=2 Schrodinger supersymmetry

Abstract

A unitary transformation which relates a many-body quantum mechanics with N=2 Schrodinger supersymmetry to a set of decoupled superparticles is proposed. The simplification in dynamics is achieved at a price of a nonlocal realization of the full N=2 Schrodinger superalgebra in a Hilbert space. The transformation is shown to be universal and applicable to conformal many-body models confined in a harmonic trap.

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References in corpus (39)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Comments on string theory backgrounds with non-relativistic conformal symmetry
• Heating up Galilean holography
• Hot Spacetimes for Cold Atoms
• Galilean-Invariant (2+1)-Dimensional Models with a Chern-Simons-Like Term and D=2 N oncommutative Geometry
• Exotic Galilean Conformal Symmetry and its Dynamical Realisations
• On the spectrum of nonrelativistic AdS/CFT
• On Schrödinger superalgebras
• Supersymmetric Calogero models by gauging
• (Super)conformal many-body quantum mechanics with extended supersymmetry
• Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane
• Equivalence of the Calogero-Sutherland Model to Free Harmonic Oscillators
• AdS/CFT duality for non-relativistic field theory
• N=4 superconformal Calogero models
• Calogero models and nonlocal conformal transformations
• N=4 mechanics, WDVV equations and roots
• New insight into WDVV equation
• Analytic results for $N$ particles with $1/r^2$ interaction in two dimensions and an external magnetic field
• Remark on quantum mechanics with conformal Galilean symmetry
• N=4 supersymmetric 3-particles Calogero model
• Particle dynamics on AdS_2 x S^2 background with two-form flux
• On the equivalence of the rational Calogero-Moser system to free particles
• A Quantum Many-body Problem in Two Dimensions: Ground State
• Novel correlations in two dimensions: Some exact solutions
• N=4 superconformal n-particle mechanics via superspace
• Quantization and Conformal Properties of a Generalized Calogero Model
• Lobachevsky geometry of (super)conformal mechanics
• On Non-Relativistic Conformal Field Theory and Trapped Atoms: Virial Theorems and the State-Operator Correspondence in Three Dimensions
• Comments on N=4 Superconformal Extension of the Calogero Model
• Super-extended noncommutative Landau problem and conformal symmetry
• Multidimensional Calogero systems from matrix models
• Extended superconformal symmetry and Calogero-Marchioro model
• Generalized Calogero model in arbitrary dimensions
• Exactly Solvable Models in Arbitrary Dimensions
• Universal properties of conformal quantum many-body systems
• Novel classical ground state of a many body system in arbitrary dimensions
• Space-time Vector Supersymmetry and Massive Spinning Particle
• Microscopic analytical theory of a correlated, two-dimensional N-electron gas in a magnetic field

Cited by in corpus (28)

• Remarks on l-conformal extension of the Newton-Hooke algebra
• Conformal mechanics in Newton-Hooke spacetime
• Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
• Supersymmetric Extension of Galilean Conformal Algebras
• Dynamical realizations of l-conformal Newton-Hooke group
• Super Galilean conformal algebra in AdS/CFT
• N=2 superconformal Newton-Hooke algebra and many-body mechanics
• Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry
• Dynamical realizations of N=1 l-conformal Galilei superalgebra
• N=2 supersymmetric extension of l-conformal Galilei algebra
• New (p+1) Dimensional Non-relativistic Theories from Euclidean Stable and Unstable Dp-Branes
• Harmonic N=2 Mechanics
• Kohn's theorem and Galilean symmetry
• N = 2 Galilean superconformal algebras with central extension
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• Unitary representations of N-conformal Galilei group
• Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
• Conformal mechanics
• New realizations of N=2 l-conformal Newton-Hooke superalgebra
• Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions
• Higher-derivative generalization of conformal mechanics
• Lowest weight representations of super Schrodinger algebras in low dimensional spacetime
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity
• Superfield approach to higher derivative N=1 superconformal mechanics
• About the Non Relativistic Structure of the AdS/CFT Superalgebras
• Perfect fluid equations with N=1,2 Schrodinger supersymmetry
• N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator
• Conformal quantum mechanics and Fick-Jacobs equation