The Liouville theorem as a problem of common eigenfunctions

G. F. Torres del Castillo

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arXiv · 1503.06789

The Liouville theorem as a problem of common eigenfunctions

G. F. Torres del Castillo

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Abstract

It is shown that, by appropriately defining the eigenfunctions of a function defined on the extended phase space, the Liouville theorem on solutions of the Hamilton--Jacobi equation can be formulated as the problem of finding common eigenfunctions of $n$ constants of motion in involution, where $n$ is the number of degrees of freedom of the system.

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G. F. Torres del Castillo. 2015-03-23. The Liouville theorem as a problem of common eigenfunctions. https://arxiv.org/abs/1503.06789

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