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Article overview
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Dynamical symmetry algebra of the Calogero model | | Larisa Jonke
; Stjepan Meljanac
; | | Date: |
4 May 2001 | | Journal: | Phys.Lett. B511 (2001) 276-284 | | Subject: | hep-th | | Affiliation: | Rudjer Boskovic Institute | | Abstract: | We study the dynamical symmetry algebra of the N-body Calogero model describing the structure of degenerate levels and demonstrate that the algebra is intrisically polynomial. We discuss some general properties of an algebra of S_N-symmetric operators acting on the S_N-symmetric subspace of the Fock space for any statistical parameter
u. In the bosonic case (
u=0) we find the algebra of generators for every N. For
u
eq 0, we explicitly reproduce the finite algebra for the 4-particle model, demonstrating some general features of our construction. | | Source: | arXiv, hep-th/0105043 | | Services: | Forum | Review | PDF | Favorites | |
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