On Hamiltonian structure of the spin Ruijsenaars-Schneider model

Mar, 1997
15 pages
Published in:
  • J.Phys.A 31 (1998) 4203-4216
e-Print:
Report number:
  • SMI-97-16

Citations per year

199720042011201820231032
Abstract:
The Hamiltonian structure of spin generalization of the rational Ruijsenaars-Schneider model is found by using the Hamiltonian reduction technique. It is shown that the model possesses the current algebra symmetry. The possibility of generalizing the found Poisson structure to the trigonometric case is discussed and degeneration to the Euler-Calogero-Moser system is examined.
Note:
  • latex, 15 pages Report-no: SMI-97-16
  • statistical mechanics
  • model: spin
  • current algebra
  • Hamiltonian formalism