### 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 |

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### Keywords

- Many-body quantum mechanics
- Schrödinger superalgebra

### ASJC Scopus subject areas

- Nuclear and High Energy Physics