Separation of Variables and the Geometry of Jacobians

Details Separation of Variables and the Geometry of Jacobians Separation of Variables and the Geometry of Jacobians

2007-02-09

arxiv.org/abs/math-ph/0702032v1

SIGMA 3 (2007), 017, 14 pages

Physics

Mathematical Physics

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2007.017

This survey examines separation of variables for algebraically integrable
Hamiltonian systems whose tori are Jacobians of Riemann surfaces. For these
cases there is a natural class of systems which admit separations in a nice
geometric sense. This class includes many of the well-known cases.

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