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Variational principle and phase space measure in non-canonical coordinates

Alessandro Sergi
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Abstract

Non-canonical equations of motion are derived from a variational principle written in symplectic form. The invariant measure of phase space and the covariant expression for the entropy are derived from non-canonical transformations of coordinates. This shows that the geometry of non-canonical phase space is non trivial even if dynamics has no compressibility.

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Alessandro Sergi. 2005-08-08. Variational principle and phase space measure in non-canonical coordinates. https://doi.org/10.1478/c1a0501003

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