The Liouville theorem as a problem of common eigenfunctions
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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| Main Author: | |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedad Mexicana de Física
2015
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2015000400004 |
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