Systematic construction of separable systems with quadratic in momenta first integrals

Abstract

Liouville integrable separable systems with quadratic in momenta first integrals are considered. Particular attention is paid to the systems generated by the so-called special conformal Killing tensors, i.e. Benenti systems. Then, infinitely many new classes of separable systems are constructed by appropriate deformations of Benenti class systems.

12 pages, Symmetry in Nonlinear Mathematical Physics, June 23-29, 2003 Kyiev

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Cited by in corpus (1)

• A class of Poisson-Nijenhuis structures on a tangent bundle