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

H. W. Braden·A. Marshakov·A. Mironov·A. Morozov
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Abstract

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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H. W. Braden, A. Marshakov, A. Mironov, A. Morozov. 1999-06-29. On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2). https://doi.org/10.1016/s0550-3213(99)00739-7

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