Aspects of Generalized Calogero Model |
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| Authors: | Mileković Marijan Meljanac Stjepan Samsarov Andjelo |
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| Affiliation: | (1) Physics Department, Faculty of Science, Bijeni!["ccaron"]("/content/h07862040273811k/xlarge269.gif") ka c. 32, 10002 Zagreb, Croatia;(2) Rudjer Bo!["scaron"]("/content/h07862040273811k/xlarge353.gif") kovi!["cacute"]("/content/h07862040273811k/xlarge263.gif") Institute, Bijenika c. 54, 10002 Zagreb, Croatia |
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| Abstract: | 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. Analyzing corresponding Fock space, we detect the universal critical point at which the model exhibits singular behavior. |
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| Keywords: | multispecies Calogero model SU(1,1) algebra |
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