Gauge transformations in Dirac theory of constrained systems
| Autor: | João Batista T. Boechat, Carlos A. P. Galvão |
|---|---|
| Rok vydání: | 1990 |
| Předmět: |
Dynamical systems theory
Time evolution Statistical and Nonlinear Physics Theoretical physics symbols.namesake Classical mechanics Hamiltonian lattice gauge theory Dirac equation symbols Gauge theory Gauge covariant derivative Linear combination Hamiltonian (quantum mechanics) Mathematical Physics Mathematics |
| Zdroj: | Journal of Mathematical Physics. 31:448-451 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.528934 |
| Popis: | According to Dirac’s prescription the generator of gauge transformations for a constrained system endowed with primary and secondary first class constraints is constructed as a linear combination of all these (first class) constraints. Using the total Hamiltonian to generate the dynamics of the system it is shown that the time evolution of the coefficients of the secondary constraints in the generator of gauge transformations is not independent but is determined by the coefficients of the primary constraints. This result is applied to some physically interesting systems. |
| Databáze: | OpenAIRE |
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