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

L Fehér (1) , C Klimcik (1)

1 I2M - Institut de Mathématiques de Marseille

A simple derivation of the spectra of the action-variables of the quantized compacti-fied Ruijsenaars-Schneider system is presented. The spectra are obtained by combining Kähler quantization with the identification of the classical action-variables as a standard toric moment map on the complex projective space. The result is consistent with the Schrödinger quantization of the system worked out previously by van Diejen and Vinet.

Domaines: Physique mathématique [math-ph]

L Fehér, C Klimcik. Spectra of the quantized action variables of the compactified Ruijsenaars-Schneider system. Theoretical and Mathematical Physics, 2012, 171 (2), pp.704-714. ⟨10.1007/s11232-012-0068-8⟩. ⟨hal-01267695⟩