Aspects of generalized Calogero model

Details Aspects of generalized Calogero model Aspects of generalized Calogero model

2004-11-25

arxiv.org/abs/hep-th/0411231v1

Czech.J.Phys. 54 (2004) 1359-1364

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, presented at XIII International Colloquium "Integrable Systems and Quantum Groups", June 17-19 2004.,Prague

Scientific paper

A multispecies model of Calogero type in $D\geq 1$ dimensions is constructed. The model includes harmonic, two-body and three-body interactions. Using the underlying conformal SU(1,1) algebra, we find the exact eigenenergies corresponding to a class of the exact global collective states. Analysing corresponding Fock space, we detect the universal critical point at which the model exhibits singular behaviour.

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