### 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 |
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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 | |

Publication status | Published - 4 May 2009 |

### Fingerprint

### 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.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 675, no. 1, pp. 116-122. https://doi.org/10.1016/j.physletb.2009.04.001

}

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

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 -