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Bosonic and Fermionic Eigenstates for Generalized Sutherland Models

Akinori Nishino·Miki Wadati
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Abstract

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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BibTeXRIS

Akinori Nishino, Miki Wadati. 2000-08-29. Bosonic and Fermionic Eigenstates for Generalized Sutherland Models. https://doi.org/10.1088/0305-4470%2F33%2F20%2F306

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