On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2)

Details On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2) On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2)

1999-06-29

arxiv.org/abs/hep-th/9906240v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX

Scientific paper

10.1016/S0550-3213(99)00739-7

We construct a two parameter family of 2-particle Hamiltonians closed under the duality operation of interchanging the (relative) momentum and coordinate. Both coordinate and momentum dependence are elliptic, and the modulus of the momentum torus is a non-trivial function of the coordinate. This model contains as limiting cases the standard Ruijsenaars-Calogero and Toda family of Hamiltonians, which are at most elliptic in the coordinates, but not in the momenta.

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