2004/11/25 by S. Meljanac, A. Samsarov, M. Milekovic
Physics and Astronomy · #hep-th
published as Czech.J.Phys. 54 (2004) 1359-1364 · 7 pages, presented at XIII International Colloquium "Integrable Systems and Quantum Groups", June 17-19 2004.,Prague
arxiv created 2004/11/25 · arxiv updated 2009/12/01
A multispecies model of Calogero type in D≥ 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.