On the Calogero model with negative harmonic term

Details On the Calogero model with negative harmonic term On the Calogero model with negative harmonic term

1998-12-03

arxiv.org/abs/solv-int/9812005v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

6 pages LaTeX2e file

Scientific paper

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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