Basic Notions of Poisson and Symplectic Geometry in Local Coordinates, with Applications to Hamiltonian Systems
This work contains a brief and elementary exposition of the foundations of Poisson and symplectic geometries, with an emphasis on applications for Hamiltonian systems with second-class constraints. In particular, we clarify the geometric meaning of the Dirac bracket on a symplectic manifold and prov...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/10/536 |