Bosonic and Fermionic Eigenstates for Generalized Sutherland Models

Details Bosonic and Fermionic Eigenstates for Generalized Sutherland Models Bosonic and Fermionic Eigenstates for Generalized Sutherland Models

2000-08-29

arxiv.org/abs/cond-mat/0008422v1

J.Phys.A33:3795-3807,2000

Physics

Condensed Matter

Statistical Mechanics

20 pages, LaTeX

Scientific paper

10.1088/0305-4470/33/20/306

We construct bosonic and fermionic eigenstates for the generalized Sutherland models associated with arbitrary reduced root systems respectively, through W-symmetrization and W-anti-symmetrization of Heckman-Opdam's nonsymmetric Jacobi polynomials. Square norms of the nonsymmetric Heckman-Opdam polynomials are evaluated from their Rodrigues formulae. The W-symmetrization and W-anti-symmetrization of the nonsymmetric polynomials enable us to evaluate square norms of bosonic and fermionic eigenstates for the generalized Sutherland models.

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