Aspects of generalized Calogero model

S. Meljanac; A. Samsarov; M. Milekovic

Aspects of generalized Calogero model

High Energy Physics - Theory 2007-05-23 v1

Authors: S. Meljanac , A. Samsarov , M. Milekovic

Abstract

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.

Keywords

calogero models

Cite

@article{arxiv.hep-th/0411231,
  title  = {Aspects of generalized Calogero model},
  author = {S. Meljanac and A. Samsarov and M. Milekovic},
  journal= {arXiv preprint arXiv:hep-th/0411231},
  year   = {2007}
}

Comments

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

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