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Título

Dirac brackets from magnetic backgrounds

Autor Isidro, José M.
Palabras clave Dirac brackets
Generalized complex geometry
[MSC] Geometry and quantization, symplectic methods
[MSC] Applications to physics
Fecha de publicación jun-2007
EditorWorld Scientific Publishing
Citación International Journal of Geometric Methods in Modern Physics 4(4): 523-532 (2007)
ResumenIn symplectic mechanics, the magnetic term describing the interaction between a charged particle and an external magnetic field has to be introduced by hand. On the contrary, in generalized complex geometry, such magnetic terms in the symplectic form arise naturally by means of B-transformations. Here we prove that, regarding classical phase space as a generalized complex manifold, the transformation law for the symplectic form under the action of a weak magnetic field gives rise to Dirac's prescription for Poisson brackets in the presence of constraints.
Descripción 10 pages.-- MSC codes: 81S10, 53Z05.-- ISI Article Identifier: 000251316400002.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-th/0611026
Versión del editorhttp://dx.doi.org/10.1142/S0219887807002181
URI http://hdl.handle.net/10261/9091
DOI10.1142/S0219887807002181
ISSN0219-8878
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