On the r-matrix structure of the hyperbolic BC(n) Sutherland model

  title={On the r-matrix structure of the hyperbolic BC(n) Sutherland model},
  author={B. G. Pusztai},
  journal={arXiv: Mathematical Physics},
  • B. Pusztai
  • Published 4 May 2012
  • Mathematics
  • arXiv: Mathematical Physics
Working in a symplectic reduction framework, we construct a dynamical r-matrix for the classical hyperbolic BC(n) Sutherland model with three independent coupling constants. We also examine the Lax representation of the dynamics and its equivalence with the Hamiltonian equation of motion. 

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