The orthogonal eigenbasis and norms of eigenvectors in the Spin Calogero-Sutherland Model
نویسنده
چکیده
Using a technique based on the Yangian Gelfand-Zetlin algebra and the associated Yangian Gelfand-Zetlin bases we construct an orthogonal basis of eigenvectors in the Calogero-Sutherland Model with spin, and derive product-type formulas for norms of these eigenvectors. 1 e-mail: [email protected] 2 e-mail: [email protected]
منابع مشابه
Yangian Gelfand-Zetlin Bases, glN-Jack Polynomials and computation of Dynamical Correlation Functions in the Spin Calogero-Sutherland Model
We consider the glN -invariant Calogero-Sutherland Models with N = 1, 2, 3, . . . in a unified framework, which is the framework of Symmetric Polynomials. By the framework we mean an isomorphism between the space of states of the glN -invariant Calogero-Sutherland Model and the space of Symmetric Laurent Polynomials. In this framework it becomes apparent that all the glN -invariant Calogero-Sut...
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