Deformation Quantization and Wigner Functions

Details Deformation Quantization and Wigner Functions Deformation Quantization and Wigner Functions

2005-04-20

arxiv.org/abs/hep-th/0504166v1

Mod.Phys.Lett. A20 (2005) 1371

Physics

High Energy Physics

High Energy Physics - Theory

Talk given by the second author at the Workshop on Quantum Gravity and Noncommutative Geometry, Lusofona University, Lisbon, J

Scientific paper

10.1142/S0217732305017822

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.

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