Browsing Pure & Applied Mathematics by Subject "Ruijsenaars-Schneider model"
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Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the Affine Heisenberg Double
(Institute of Physics, 1997)It is shown that the elliptic Ruijsenaars-Schneider model can be obtained from the affine Heisenberg Double by means of the Poisson reduction procedure. The dynamical r-matrix naturally appears in the construction. -
R-matrix quantization of the elliptic Ruijsenaars-Schneider model
(Springer Verlag, 1998)It is shown that the classical L-operator algebra of the elliptic Ruijsenaars-Schneider model can be realized as a subalgebra of the algebra of functions on the cotangent bundle over the centrally extended current group ...