Integrals of the Toda lattice

Abstract

The exponential lattice introduced by Toda is shown to be an integrable dynamical system. An explicit set of $n$ integrals is given for a lattice of $n$ particles with periodic boundary conditions. The case of fixed-end boundary conditions is also covered as a particular case. An alternative set of integrals is obtained, which can be extended to the case of an infinite lattice.

Identifiers

DOI

10.1103/physrevb.9.1921

Citations and references