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The orthogonal eigenbasis and norms of eigenvectors in the spin Calogero - Sutherland model

1996/11/21 by Kouichi Takemura, Denis Uglov
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #hep-th #math.QA #nlin.SI #q-alg #solv-int

paper · pdf · doi:10.1088/0305-4470/30/10/039

35 pages, AMSLaTeX

arxiv created 1996/11/21 · openalex publication_date 1997/05/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

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 formulae for norms of these eigenvectors.

Citations