Quantum vs Classical Integrability in Ruijsenaars-Schneider Systems
Ragnisco, O. ; Sasaki, R.
arXiv, 0305120 / Harvested from arXiv
Text on arXiv
The relationship (resemblance and/or contrast) between quantum and classical integrability in Ruijsenaars-Schneider systems, which are one parameter deformation 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.
Publié le : 2003-05-14
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Quantum Algebra,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0305120,
     author = {Ragnisco, O. and Sasaki, R.},
     title = {Quantum vs Classical Integrability in Ruijsenaars-Schneider Systems},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305120}
}

Ragnisco, O.; Sasaki, R. Quantum vs Classical Integrability in Ruijsenaars-Schneider Systems. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305120/