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arXiv · 1910.03894

Simple evaluation of Casimir invariants in finite-dimensional Poisson systems

Benito Hernández-Bermejo·V. Fairén
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Abstract

In this letter we present a procedure for the calculation of the Casimir functions of finite-dimensional Poisson systems which avoids the burden of solving a set of partial differential equations, as it is usually suggested in the literature. We show how a simple algebraic manipulation of the structure matrix reduces substantially the difficulty of the problem.

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Benito Hernández-Bermejo, V. Fairén. 2019-10-09. Simple evaluation of Casimir invariants in finite-dimensional Poisson systems. https://doi.org/10.1016/s0375-9601(98)00125-x

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