Deformation Quantization and Wigner Functions

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.

Talk given by the second author at the Workshop on Quantum Gravity and Noncommutative Geometry, Lusofona University, Lisbon, July 2004

References in corpus (5)

• Admissible states in quantum phase space
• Symplectic evolution of Wigner functions in markovian open systems
• Exact positivity of the Wigner and P-functions of a Markovian open system
• Wigner Functions with Boundaries
• Formal solutions of stargenvalue equations

Cited by in corpus (2)

• Comment on "On infinite walls in deformation quantization"
• Star-quantization of an infinite wall