On the Calogero model with negative harmonic term

1998/12/03 by Cezary Gonera, C. Gonera, M. Majewski +6
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9812005

6 pages LaTeX2e file

arxiv created 1998/12/03 · arxiv updated 2009/11/30

Abstract

The Calogero model with negative harmonic term is shown to be equivalent to the set of negative harmonic oscillators. Two time-independent canonical transformations relating both models are constructed: one based on the recent results concerning quantum Calogero model and one obtained from dynamical sL(2,\rr) algebra. The two-particle case is discussed in some detail.

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