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

L. Fehér, C. Klimčík

Research output: Article

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)704-714
Number of pages11
JournalTheoretical and Mathematical Physics
Volume171
Issue number2
DOIs
Publication statusPublished - máj. 2012

Fingerprint

Quantization
Moment Map
Complex Projective Space
trucks
derivation
moments
Standards

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

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AB - 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.

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