Riemann surfaces, separation of variables and classical and quantum integrability
High Energy Physics - Theory
2009-11-07 v2 Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We show that Riemann surfaces, and separated variables immediately provide classical Poisson commuting Hamiltonians. We show that Baxter's equations for separated variables immediately provide quantum commuting Hamiltonians. The construction is simple, general, and does not rely on the Yang--Baxter equation.
Cite
@article{arxiv.hep-th/0209071,
title = {Riemann surfaces, separation of variables and classical and quantum integrability},
author = {O. Babelon and M. Talon},
journal= {arXiv preprint arXiv:hep-th/0209071},
year = {2009}
}
Comments
10 pages. Fixed a typo, added a reference