The relationship (resemblance and/or contrast) between quantum and classical integrability in Ruijsenaars-Schneider systems, which are one-parameter deformations of Calogero-Moser systems, is addressed. Many remarkable properties of classical Calogero and Sutherland systems (based on any root system) at equilibrium are reported in a previous paper (Corrigan-Sasaki). For example, the minimum energies, frequencies of small oscillations and the eigenvalues of Lax pair matrices at equilibrium are all 'integer valued'. In this paper we report that similar features and results hold for the Ruijsenaars-Schneider type of integrable systems based on the classical root systems.

Ragnisco, O., Sasaki, R. (2004). Quantum versus classical integrability in Ruijsenaars-Schneider systems. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 37(2), 469-479 [10.1088/0305-4470/37/2/015].

Quantum versus classical integrability in Ruijsenaars-Schneider systems

RAGNISCO, Orlando;
2004-01-01

Abstract

The relationship (resemblance and/or contrast) between quantum and classical integrability in Ruijsenaars-Schneider systems, which are one-parameter deformations of Calogero-Moser systems, is addressed. Many remarkable properties of classical Calogero and Sutherland systems (based on any root system) at equilibrium are reported in a previous paper (Corrigan-Sasaki). For example, the minimum energies, frequencies of small oscillations and the eigenvalues of Lax pair matrices at equilibrium are all 'integer valued'. In this paper we report that similar features and results hold for the Ruijsenaars-Schneider type of integrable systems based on the classical root systems.
2004
Ragnisco, O., Sasaki, R. (2004). Quantum versus classical integrability in Ruijsenaars-Schneider systems. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 37(2), 469-479 [10.1088/0305-4470/37/2/015].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/156396
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