Elliptic analog of the Toda lattice

I. M. Krichever

The action-angle variables for N-particle Hamiltonian system with the Hamiltonian $H={\sum }_{n=0}^{N-1}\ln s{h}^{-2}(p_n/2)+\ln (\wp (x_n-x_{n+1})-\wp (x_n+x_{n+1})),x_N=x_0,$ are cons…