3 papers
math-ph2003
Equations in dual variables for Whittaker functions
O. Babelon
It is known that the Whittaker functions associated to the group SL(N) are eigenfunctions of the Hamiltonians of the open Toda chain, hence satisfy a set of differential e…
hep-th1994
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…
hep-th1993
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…