Time dependent transformations in deformation quantization

Details Time dependent transformations in deformation quantization Time dependent transformations in deformation quantization

2003-11-23

arxiv.org/abs/hep-th/0311218v1

J.Math.Phys. 45 (2004) 887-901

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, to appear in the J. Math. Phys

Scientific paper

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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