A new model in the Calogero-Ruijsenaars family

Ian Marshall

A new model in the Calogero-Ruijsenaars family

Mathematical Physics 2013-12-24 v2 math.MP Symplectic Geometry Exactly Solvable and Integrable Systems

Authors: Ian Marshall

Abstract

Hamiltonian reduction is used to project a trivially integrable system on the Heisenberg double of $SU(n,n)$ , to obtain a system of Ruijsenaars type on a suitable quotient space. This system possesses $BC_n$ symmetry and is shown to be equivalent to the standard three-parameter $BC_n$ hyperbolic Sutherland model in the cotangent bundle limit.

Keywords

Hamiltonian reduction Calogero-Ruijsenaars systems Heisenberg double SU(n,n) BC_n symmetry Sutherland model integrable systems

Cite

@article{arxiv.1311.4641,
  title  = {A new model in the Calogero-Ruijsenaars family},
  author = {Ian Marshall},
  journal= {arXiv preprint arXiv:1311.4641},
  year   = {2013}
}

Comments

The paper was re-organised a little - and several typos were uncovered in the process

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