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On the Calogero model with negative harmonic term

C. Gonera·M. Majewski·P. Maślanka
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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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C. Gonera, M. Majewski, P. Maślanka. 1998-12-03. On the Calogero model with negative harmonic term. https://arxiv.org/abs/solv-int/9812005

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