Gauge-covariant extensions of Killing tensors and conservation laws
arXiv:1408.0115 · doi:10.1088/1742-6596/597/1/012072
Abstract
In classical and quantum mechanical systems on manifolds with gauge-field fluxes, constants of motion are constructed from gauge-covariant extensions of Killing vectors and tensors. This construction can be carried out using a manifestly covariant procedure, in terms of covariant phase space with a covariant generalization of the Poisson brackets, c.q. quantum commutators. Some examples of this construction are presented.
11 pages, proceedings conference Group30, Gent (B); July 2014