Remark on quantum mechanics with N=2 Schrodinger supersymmetry
Anton Galajinsky, Ivan Masterov
TL;DR
This paper introduces a unitary transformation that simplifies N=2 Schrödinger supersymmetric many-body quantum mechanics by decoupling it into superparticles, revealing a nonlocal superalgebra realization applicable to trapped conformal models.
Contribution
It proposes a universal unitary transformation that relates complex many-body supersymmetric quantum systems to simpler decoupled superparticles.
Findings
Transformation simplifies many-body dynamics
Applicable to models in harmonic traps
Reveals nonlocal superalgebra realization
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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