Abstract

TORRES DEL CASTILLO, G.F.. The Liouville theorem as a problem of common eigenfunctions. Rev. mex. fis. [online]. 2015, vol.61, n.4, pp.268-271. ISSN 0035-001X.

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.

Keywords : Hamilton-Jacobi equation; Liouville theorem; eigenfunctions.

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