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Quantum vs. Classical Integrability in Ruijsenaars–Schneider and Calogero–Moser Systems

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Czechoslovak Journal of Physics Aims and scope

Abstract

The relationship (resemblance and/or contrast) between quantum and classical integrability in Ruijsenaars-Schneider (R-S) and Calogero-Moser systems is addressed. The classical Calogero and Sutherland systems (based on any root system) at equilibrium have many remarkable properties; for example, the minimum energies, frequencies of small oscillations and the eigenvalues of Lax pair matrices at equilibrium are all “integer valued”. These are related to the energy eigenvalues of the quantum Calogero and Sutherland systems. Similar features and results hold for the R-S type of integrable systems based on the classical root systems.

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Authors and Affiliations

  1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan

    Ryu Sasaki

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  1. Ryu Sasaki
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Sasaki, R. Quantum vs. Classical Integrability in Ruijsenaars–Schneider and Calogero–Moser Systems. Czechoslovak Journal of Physics 53, 1111–1117 (2003). https://doi.org/10.1023/B:CJOP.0000010542.19806.18

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  • DOI: https://doi.org/10.1023/B:CJOP.0000010542.19806.18

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