On the Generalised Equipartition Law
2020
We observe that the so-called Generalised Equipartition Law for hamiltonian systems is actually valid only under specific hypotheses -- unfortunately omitted in some textbooks -- which limit its applicability when dealing with nonlinear systems. We introduce a new coordinate--independent generalisation which overcomes this problem, and moreover can be applied to a larger set of functions. A simple example of application is discussed.
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