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Bosonic realisation of algebras in the Calogero model (CROSBI ID 93340)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Jonke, Larisa ; Meljanac, Stjepan
Bosonic realisation of algebras in the Calogero model // Physics letters. B, 526 (2002), 1-2; 149-156-x
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Jonke, Larisa ; Meljanac, Stjepan
engleski
Bosonic realisation of algebras in the Calogero model
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 dynamical symmetry algebra describing the structure of degenerate levels of the Calogero model.
algebra; dynamical symmetry; Calogero model
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