Fractional Dirac Bracket and Quantization for Constrained Systems

Details Fractional Dirac Bracket and Quantization for Constrained Systems Fractional Dirac Bracket and Quantization for Constrained Systems

2011-02-22

arxiv.org/abs/1102.4532v3

Physics

High Energy Physics

High Energy Physics - Theory

Revtex 4.1. 9 pages, two-column. Final version to appear in Physical Review E

Scientific paper

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 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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