Trace Formula for a System of Particles with Elliptic Potential
solv-int
2008-02-03 v2 Exactly Solvable and Integrable Systems
Abstract
We consider classical particles on the line with the Weierstrass function as potential. This system parameterizes special solutions of the KP equation. We derive the trace formula which relates the Hamiltonian of the particle system to the residues of some Abelian differential (meromorphic one-form) on the spectral curve. Such formula is important for the construction action-angle variables and study invariant Gibbs' states.
Cite
@article{arxiv.solv-int/9707002,
title = {Trace Formula for a System of Particles with Elliptic Potential},
author = {K. L. Vaninsky},
journal= {arXiv preprint arXiv:solv-int/9707002},
year = {2008}
}
Comments
corrected version