Schrödinger Equation in Phase Space and Deformation Quantization

2005/04/01 by Maurice De Gosson, De Gosson, Maurice
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Symplectic Geometry (math.SG) #math-ph #math.MP #math.OA #math.SG

paper · pdf · doi:10.48550/arxiv.math/0504013

Preprint, April 1st 2005

arxiv created 2005/04/01 · arxiv updated 2009/12/01

Abstract

We justify the relevance of Torres-Vega Schrödinger equation in phase space using Stone-von Neumann's theorem, and relate it to deformation quantization.

Related

• Deformation in Phase Space
• Phase Space Quantum Mechanics
• Classical and semi-classical limits in phase space
• Quantum Mechanics in Phase Space: An introduction
• Phase Space Discretization and Moyal Quantization