Variational principle and phase space measure in non-canonical coordinates
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...
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| Format: | Article |
| Language: | English |
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Accademia Peloritana dei Pericolanti
2005-11-01
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| Series: | Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
| Online Access: | http://dx.doi.org/10.1478/C1A0501003 |
| Summary: | 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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| ISSN: | 0365-0359 1825-1242 |