Remark on quantum mechanics with N = 2 Schrödinger supersymmetry

Anton Galajinsky, Ivan Victorovich Masterov

Research School of High-Energy Physics

Research output: Contribution to journal › Article

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

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Keywords

Many-body quantum mechanics
Schrödinger superalgebra

ASJC Scopus subject areas

Nuclear and High Energy Physics

Cite this

Galajinsky, A., & Masterov, I. V. (2009). Remark on quantum mechanics with N = 2 Schrödinger supersymmetry. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 675(1), 116-122. https://doi.org/10.1016/j.physletb.2009.04.001

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Access to Document

10.1016/j.physletb.2009.04.001