Time dependent transformations in deformation quantization

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.

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

References in corpus (1)

• Bohmian trajectories and quantum phase space distributions

Cited by in corpus (7)

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• Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit
• Wigner Measures in Noncommutative Quantum Mechanics
• Phase shift in atom interferometers: corrections for non-quadratic potentials and finite-duration laser pulses
• Canonical transformations in quantum mechanics
• Quantum trajectories
• Stargenfunctions, generally parametrized systems and a causal formulation of phase space quantum mechanics