Bosonic and Fermionic Eigenstates for Generalized Sutherland Models
统计力学
2008-11-26 v1 高能物理 - 理论
摘要
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.
引用
@article{arxiv.cond-mat/0008422,
title = {Bosonic and Fermionic Eigenstates for Generalized Sutherland Models},
author = {Akinori Nishino and Miki Wadati},
journal= {arXiv preprint arXiv:cond-mat/0008422},
year = {2008}
}
备注
20 pages, LaTeX