Riemann surfaces, separation of variables and classical and quantum integrability

Details Riemann surfaces, separation of variables and classical and quantum integrability Riemann surfaces, separation of variables and classical and quantum integrability

2002-09-09

arxiv.org/abs/hep-th/0209071v2

Phys.Lett. A312 (2003) 71-77

Physics

High Energy Physics

High Energy Physics - Theory

10 pages. Fixed a typo, added a reference

Scientific paper

10.1016/S0375-9601(03)00611-X

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.

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