Bosonic and Fermionic Eigenstates for Generalized Sutherland Models

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dc.creatorNishino, Akinori
dc.creatorWadati, Miki
dc.date2000-08-29
dc.date.accessioned2026-07-07T10:51:36Z
dc.date.available2026-07-07T10:51:36Z
dc.descriptionWe 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.
dc.description20 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/cond-mat/0008422
dc.identifierhttp://arxiv.org/abs/cond-mat/0008422
dc.identifierJ.Phys.A33:3795-3807,2000
dc.identifierdoi:10.1088/0305-4470/33/20/306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184875
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleBosonic and Fermionic Eigenstates for Generalized Sutherland Models
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