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

B. Y. Hou; Babelon O.; Calogero F.; Calogero F.; Chen K.; Chen K.; Chen K.; Chen K.; Felder G.; Hasegawa K.; Hikami K.; Hou B. Y.; Hou B. Y.; Hou B. Y.; Hou B. Y.; Khastgir S. P.; Komori Y.; R. Sasaki; Schultz C. L.; Takebe T.; Takhtajan L. A.; W.-L. Yang

research

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

Authors: B. Y. Hou
Babelon O.
Calogero F.
Calogero F.
Chen K.
Chen K.
Chen K.
Chen K.
Felder G.
Hasegawa K.
Hikami K.
Hou B. Y.
Hou B. Y.
Hou B. Y.
Hou B. Y.
Khastgir S. P.
Komori Y.
R. Sasaki
Schultz C. L.
Takebe T.
Takhtajan L. A.
W.-L. Yang
Publication date: 18 September 2003
Publisher: 'AIP Publishing'
Doi

Abstract

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].Comment: Latex file, 25 page