English

On the Calogero model with negative harmonic term

solv-int 2007-05-23 v1 Exactly Solvable and Integrable Systems

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)sL(2,\rr) algebra. The two-particle case is discussed in some detail.

Keywords

Cite

@article{arxiv.solv-int/9812005,
  title  = {On the Calogero model with negative harmonic term},
  author = {C. Gonera and M. Majewski and P. Maślanka},
  journal= {arXiv preprint arXiv:solv-int/9812005},
  year   = {2007}
}

Comments

6 pages LaTeX2e file

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