METAPLECTIC FORMULATION OF THE WIGNER TRANSFORM AND APPLICATIONS

DOI10.1142/S0129055X13430101zbMath1282.35429arXiv1401.3388OpenAlexW3103171208MaRDI QIDQ2871279

Nuno Costa Dias, João Nuno Prata, Maurice A. De Gosson

Publication date: 22 January 2014

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3388

zbMATH Keywords

deformation quantizationWeyl operatorsWigner functionsphase space representations of quantum mechanics

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) General topics in linear spectral theory for PDEs (35P05) Eigenvalue problems for linear operators (47A75) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (3)

Gabor products and a phase space approach to nonlinear analysis ⋮ (Co)isotropic triples and poset representations ⋮ Wigner analysis of operators. I: Pseudodifferential operators and wave fronts

Cites Work

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• Half quantization
• The quantum state vector in phase space and Gabor's windowed Fourier transform
• Spectral Properties of a Class of Generalized Landau Operators
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• Harmonic Analysis in Phase Space. (AM-122)
• A deformation quantization theory for noncommutative quantum mechanics

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