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The quantum Neumann model: asymptotic analysis
Marc Bellon, Michel Talon
We use semi--classical and perturbation methods to establish the quantum theory of the Neumann model, and explain the features observed in previous numerical computations.
Spin generalization of the Calogero-Moser system and the Matrix KP equation
I. Krichever, O. Babelon, E. Billey +1
The complete solutions of the spin generalization of the elliptic Calogero Moser systems are constructed. They are expressed in terms of Riemann theta-functions. The analoguous con…
Construction of the classical -matrices for the Toda and Calogero models
J. Avan, O. Babelon, M. Talon
We use the definition of the Calogero-Moser models as Hamiltonian reductions of geodesic motions on a group manifold to construct their -matrices. In the Toda case, the analogou…
Two--poles R-matrices
M. Talon
We study integrable dynamical systems described by a Lax pair involving a spectral parameter. By solving the classical Yang-Baxter equation when the R-matrix has two poles we show…