Superintegrability, Lax matrices and separation of variables

Details Superintegrability, Lax matrices and separation of variables Superintegrability, Lax matrices and separation of variables

2003-03-06

arxiv.org/abs/nlin/0303009v3

CRM Proc.Lect.Notes 37:65-73,2004

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, LaTex file. Published in proceedings of workshop on Superintegrability in Classical and Quantum Systems, 16-21 Sept.

Scientific paper

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.

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