Remark on quantum mechanics with N = 2 Schrödinger supersymmetry

Anton Galajinsky, Ivan Victorovich Masterov

Research output: Contribution to journalArticle

31 Citations (Scopus)

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 languageEnglish
Pages (from-to)116-122
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume675
Issue number1
DOIs
Publication statusPublished - 4 May 2009

Fingerprint

supersymmetry
quantum mechanics
Hilbert space
simplification
traps
harmonics

Keywords

  • Many-body quantum mechanics
  • Schrödinger superalgebra

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Remark on quantum mechanics with N = 2 Schrödinger supersymmetry. / Galajinsky, Anton; Masterov, Ivan Victorovich.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 675, No. 1, 04.05.2009, p. 116-122.

Research output: Contribution to journalArticle

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