On the solution of the Calogero model and its generalization to the case of distinguishable particles

Details On the solution of the Calogero model and its generalization to the case of distinguishable particles On the solution of the Calogero model and its generalization to the case of distinguishable particles

1996-03-08

arxiv.org/abs/hep-th/9603050v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

The 3-body Calogero problem is solved by separation of variables for arbitrary exchange statistics. A numerical computation of the 4-body spectrum is also presented. The results display new features in comparison with the standard case of bosons and fermions, for instance the energies are not linear with the interaction parameter $\nu$ and Bethe ansatz as well as Haldane's statistics are not verified.

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