Deformation Quantization and Wigner Functions
High Energy Physics - Theory
2009-11-11 v1
Abstract
We review the Weyl-Wigner formulation of quantum mechanics in phase space. We discuss the concept of Narcowich-Wigner spectrum and use it to state necessary and sufficient conditions for a phase space function to be a Wigner distribution. Based on this formalism we analize the modifications introduced by the presence of boundaries. Finally, we discuss the concept of environment-induced decoherence in the context of the Weyl-Wigner approach.
Cite
@article{arxiv.hep-th/0504166,
title = {Deformation Quantization and Wigner Functions},
author = {Nuno Costa Dias and Joao Nuno Prata},
journal= {arXiv preprint arXiv:hep-th/0504166},
year = {2009}
}
Comments
Talk given by the second author at the Workshop on Quantum Gravity and Noncommutative Geometry, Lusofona University, Lisbon, July 2004