Eigenvalues of Ruijsenaars–Schneider models associated with An−1 root system in Bethe ansatz formalism

2003/09/18 by Boyu Hou, Bokang Hou, Ryu Sasaki +2
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1063/1.1635067

published as J.Math.Phys. 45 (2004) 559-575 · Latex file, 25 pages

arxiv created 2003/09/18 · openalex publication_date 2004/01/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Ruijsenaars–Schneider models associated with An−1 root system with a discrete coupling constant are studied. The eigenvalues of the Hamiltonian are given in terms of the Bethe ansatz formulas. Taking the “nonrelativistic” limit, we obtain the spectrum of the corresponding Calogero–Moser systems in the third formulas of Felder et al.

Citations

• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL

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