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On Double-Elliptic Integrable Systems. 1. A Duality Argument for the
case of SU(2)
release_utof7z724bawzfcyjxrl7g5xau
by
H.W.Braden,
A.Marshakov,
A.Mironov,
A.Morozov
Released
as a article
.
1999
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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hep-th/9906240v1
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