Eigenvalues of Ruijsenaars-Schneider models associated with $A_{n-1}$ root system in Bethe ansatz formalism

Details Eigenvalues of Ruijsenaars-Schneider models associated with $A_{n-1}$ root system in Bethe ansatz formalism Eigenvalues of Ruijsenaars-Schneider models associated with $A_{n-1}$ root system in Bethe ansatz formalism

2003-09-18

arxiv.org/abs/hep-th/0309194v1

J.Math.Phys. 45 (2004) 559-575

Physics

High Energy Physics

High Energy Physics - Theory

Latex file, 25 pages

Scientific paper

10.1063/1.1635067

Ruijsenaars-Schneider models associated with $A_{n-1}$ root system with a
discrete coupling constant are studied. The eigenvalues of the Hamiltonian are
givein in terms of the Bethe ansatz formulas. Taking the "non-relativistic"
limit, we obtain the spectrum of the corresponding Calogero-Moser systems in
the third formulas of Felder et al [20].

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