Simple evaluation of Casimir invariants in finite-dimensional Poisson systems
Analysis of PDEs
2019-11-06 v1 Mathematical Physics
math.MP
Symplectic Geometry
Exactly Solvable and Integrable Systems
Classical Physics
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.
Keywords
Cite
@article{arxiv.1910.03894,
title = {Simple evaluation of Casimir invariants in finite-dimensional Poisson systems},
author = {Benito Hernández-Bermejo and V. Fairén},
journal= {arXiv preprint arXiv:1910.03894},
year = {2019}
}