Time dependent transformations in deformation quantization
High Energy Physics - Theory
2014-11-18 v1
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.
Cite
@article{arxiv.hep-th/0311218,
title = {Time dependent transformations in deformation quantization},
author = {Nuno Costa Dias and Joao Nuno Prata},
journal= {arXiv preprint arXiv:hep-th/0311218},
year = {2014}
}
Comments
16 pages, to appear in the J. Math. Phys