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

Fingerprint Dive into the research topics of 'Remark on quantum mechanics with N = 2 Schrödinger supersymmetry'. Together they form a unique fingerprint.

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

@article{e219d69fa984408dab01e04c340e93c5,

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",

month = may,

day = "4",

doi = "10.1016/j.physletb.2009.04.001",

language = "English",

volume = "675",

pages = "116--122",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - Remark on quantum mechanics with N = 2 Schrödinger supersymmetry

AU - Galajinsky, Anton

AU - Masterov, Ivan Victorovich

PY - 2009/5/4

Y1 - 2009/5/4

N2 - 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.

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.

KW - Many-body quantum mechanics

KW - Schrödinger superalgebra

UR - http://www.scopus.com/inward/record.url?scp=64649103387&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=64649103387&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2009.04.001

DO - 10.1016/j.physletb.2009.04.001

M3 - Article

AN - SCOPUS:64649103387

VL - 675

SP - 116

EP - 122

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1

ER -