Superintegrability, Lax matrices and separation of variables

Abstract

We show how the superintegrability of certain systems can be deduced from the presence of multiple parameters in the rational Lax matrix representation. This is also related to the fact that such systems admit a separation of variables in parametric families of coordinate systems.

13 pages, LaTex file. Published in proceedings of workshop on Superintegrability in Classical and Quantum Systems, 16-21 Sept., 2002, CRM, Universite de Montreal, Montreal (Quebec)

References in corpus (2)

• Classical and Quantum Integrable Systems in $\wt{\gr{gl}}(2)^{+*}$ and Separation of Variables
• Isospectral Flow and Liouville-Arnold Integration in Loop Algebras

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