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Gauge-covariant extensions of Killing tensors and conservation laws

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.

preprint2014arXivOpen access
J. W. van Holten
math-phmath.MPhep-th
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J. W. van Holten

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