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

1996/03/08 by Alain Dasnières de Veigy, A. Dasnieres de Veigy, de Veigy, A. Dasnieres
Chemistry · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Molecular spectroscopy and chirality #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9603050

8 pages

arxiv created 1996/03/08 · arxiv updated 2009/11/30

Abstract

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.

Related

• Aspects of generalized Calogero model
• Coupling and particle number intertwiners in the Calogero model
• 3-particle Calogero Model: Supertraces and Ideals on the Algebra of Observables
• Calogero-Sutherland model in interacting fermion picture and explicit construction of Jack states
• The extended conformal theory of the Calogero-Sutherland model