The Lax pair for C-2-type Ruijsenaars-Schneider model

Citation
K. Chen et al., The Lax pair for C-2-type Ruijsenaars-Schneider model, CHIN PHYS, 10(6), 2001, pp. 550-554
Citations number
25
Categorie Soggetti
Physics
Journal title
CHINESE PHYSICS
ISSN journal
10091963 → ACNP
Volume
10
Issue
6
Year of publication
2001
Pages
550 - 554
Database
ISI
SICI code
1009-1963(200106)10:6<550:TLPFCR>2.0.ZU;2-U
Abstract
We study the C-2 Ruijsenaars-Schneider model with interaction potential of trigonometric type. The Lax pairs for the model with and without spectral p arameters are constructed. Also given are the involutive Hamiltonians for t he system. Taking a non-relativistic limit, we obtain the Lax pair of C-2 C alogero-Moser model.