On the solution of the Calogero model and its generalization to the case of distinguishable particles
Abstract
Description
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 $ν$ and Bethe ansatz as well as Haldane's statistics are not verified.
8 pages
8 pages