Remark on quantum mechanics with N = 2 Schrödinger supersymmetry

Abstract

A unitary transformation which relates a many-body quantum mechanics with N = 2 Schrödinger 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 Schrödinger superalgebra in a Hilbert space. The transformation is shown to be universal and applicable to conformal many-body models confined in a harmonic trap.

Original language	English
Pages (from-to)	116-122
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	675
Issue number	1
DOIs	https://doi.org/10.1016/j.physletb.2009.04.001
Publication status	Published - 4 May 2009

Keywords

Many-body quantum mechanics
Schrödinger superalgebra

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.physletb.2009.04.001

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title = "Remark on quantum mechanics with N = 2 Schr{\"o}dinger supersymmetry",

abstract = "A unitary transformation which relates a many-body quantum mechanics with N = 2 Schr{\"o}dinger 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 Schr{\"o}dinger superalgebra in a Hilbert space. The transformation is shown to be universal and applicable to conformal many-body models confined in a harmonic trap.",

keywords = "Many-body quantum mechanics, Schr{\"o}dinger superalgebra",

author = "Anton Galajinsky and Masterov, {Ivan Victorovich}",

year = "2009",

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AB - A unitary transformation which relates a many-body quantum mechanics with N = 2 Schrödinger 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 Schrödinger 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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