Generalized equipartition theorem and confining walls
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It is shown that the generalized equipartition theorem as applied to the momentum may fail, even though the usual conditions of validity are met. This failure is linked to the nature of the confining walls, with ideal walls constituting a singular case. The corresponding analysis illustrates the use of proper sets of canonical coordinates, and the utility of canonical transformations other than point transformations.
CitationRey, R. Generalized equipartition theorem and confining walls. "American journal of physics", Juny 2015, vol. 83, núm. 6, p. 539-544.