Bosonic realization of algebras in the Calogero model

Details Bosonic realization of algebras in the Calogero model Bosonic realization of algebras in the Calogero model

2001-06-15

arxiv.org/abs/hep-th/0106135v2

Phys.Lett. B526 (2002) 149-156

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Revtex, v2. mapping clarified, references changed

Scientific paper

10.1016/S0370-2693(01)01464-2

We study an N-body Calogero model in the S_N-symmetric subspace of the positive definite Fock space. We construct a new algebra of S_N-symmetric operators represented on the symmetric Fock space, and find a natural orthogonal basis by mapping the algebra onto the Heisenberg algebra. Our main result is the bosonic realization of nonlinear symmetry algebra describing the structure of degenerate levels of Calogero model.

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