This article is cited in 3 papers

Spectra of the quantized action variables of the compactified Ruijsenaars–Schneider system

L. Feher^ab, C. Klimchik<sup>c

a</sup> Department of Theoretical Physics, Wigner~KFKI RMKI, Budapest, Hungary
^b Department of Theoretical Physics, University of Szeged, Szeged, Hungary
^c Institut de mathématiques de Luminy, Marseille, France

Abstract: We present a simple derivation of the spectra of the action variables of the quantized compactified Ruijsenaars–Schneider system. We obtain the spectra by combining Kähler quantization with the identification of the classical action variables as a standard toric moment map on a complex projective space. The result is consistent with the Schrödinger quantization of the system previously developed by van Diejen and Vinet.

Keywords: compactified Ruijsenaars–Schneider system, action variable, quantization.

Received: 08.06.2011

DOI: 10.4213/tmf6922

 English version: Theoretical and Mathematical Physics, 2012, 171:2, 704–714

Bibliographic databases:

• 
• 
• 
• 
•