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Trihamiltonian extensions of separable systems in the plane

Luca Degiovanni
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Abstract

A method to construct trihamiltonian extensions of a separable system is presented. The procedure is tested for systems, with a natural Hamiltonian, separable in classical sense in one of the four orthogonal separable coordinate systems of the Euclidean plane, and some explicit examples are constructed. Finally a conjecture on possible generalizations to other classes of systems is discussed: in particular, the method can be easily adapted to the eleven orthogonal separable coordinate sets of the Euclidean three-space.

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Luca Degiovanni. 2004-07-13. Trihamiltonian extensions of separable systems in the plane. https://doi.org/10.1063/1.2188227

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