The Dn Ruijsenaars-Schneider model

Details The Dn Ruijsenaars-Schneider model The Dn Ruijsenaars-Schneider model

2001-02-07

arxiv.org/abs/hep-th/0102036v2

J.Phys.A34:7579-7590,2001

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 14 pages; more remarks are added in the last section

Scientific paper

10.1088/0305-4470/34/37/311

The Lax pair of the Ruijsenaars-Schneider model with interaction potential of trigonometric type based on Dn Lie algebra is presented. We give a general form for the Lax pair and prove partial results for small n. Liouville integrability of the corresponding system follows a series of involutive Hamiltonians generated by the characteristic polynomial of the Lax matrix. The rational case appears as a natural degeneration and the nonrelativistic limit exactly leads to the well-known Calogero-Moser system associated with Dn Lie algebra.

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