dorsal/arxiv
View SchemaTrace Formula for a System of Particles with Elliptic Potential
| Authors | K. L. Vaninsky |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9707002 |
| URL | https://arxiv.org/abs/solv-int/9707002 |
| Journal | Pacific J. Math, vol. 189, no. 1, 159--178 (1999) |
Abstract
We consider classical particles on the line with the Weierstrass $\wp$ 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.
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"abstract": "We consider classical particles on the line with the Weierstrass $\\wp$\nfunction as potential. This system parameterizes special solutions of the KP\nequation. We derive the trace formula which relates the Hamiltonian of the\nparticle system to the residues of some Abelian differential (meromorphic\none-form) on the spectral curve. Such formula is important for the construction\naction-angle variables and study invariant Gibbs\u0027 states.",
"arxiv_id": "solv-int/9707002",
"authors": [
"K. L. Vaninsky"
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"journal_ref": "Pacific J. Math, vol. 189, no. 1, 159--178 (1999)",
"title": "Trace Formula for a System of Particles with Elliptic Potential",
"url": "https://arxiv.org/abs/solv-int/9707002"
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