| Fractional Dirac bracket and quantization for constrained systems. | |
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MedLine Citation:
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PMID: 21929129 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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So far, it is not well known how to deal with dissipative systems. There are many paths of investigation in the literature and none of them present a systematic and general procedure to tackle the problem. On the other hand, it is well known that the fractional formalism is a powerful alternative when treating dissipative problems. In this paper, we propose a detailed way of attacking the issue using fractional calculus to construct an extension of the Dirac brackets in order to carry out the quantization of nonconservative theories through the standard canonical way. We believe that, by using the extended Dirac bracket definition, it will be possible to analyze more deeply gauge theories starting with second-class systems. |
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Authors:
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Everton M C Abreu; Cresus F L Godinho |
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Publication Detail:
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Type: Journal Article Date: 2011-08-15 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 84 ISSN: 1550-2376 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2011 Aug |
Date Detail:
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Created Date: 2011-09-20 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 026608 Citation Subset: IM |
Affiliation:
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Grupo de Física Teórica, Departamento de Física, Universidade Federal Rural do Rio de Janeiro, BR 465-07, 23890-971 Seropédica, RJ, Brazil. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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