Time dependent transformations in deformation quantization

Nuno Costa Dias; Joao Nuno Prata

doi:10.1063/1.1641152

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arXiv · hep-th/0311218

Time dependent transformations in deformation quantization

Nuno Costa Dias·Joao Nuno Prata

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Abstract

We study the action of time dependent canonical and coordinate transformations in phase space quantum mechanics. We extend the covariant formulation of the theory by providing a formalism that is fully invariant under both standard and time dependent coordinate transformations. This result considerably enlarges the set of possible phase space representations of quantum mechanics and makes it possible to construct a causal representation for the distributional sector of Wigner quantum mechanics.

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Nuno Costa Dias, Joao Nuno Prata. 2003-11-23. Time dependent transformations in deformation quantization. https://doi.org/10.1063/1.1641152

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