A deformation quantization theory for noncommutative quantum mechanics
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Publication:5251798
DOI10.1063/1.3436581zbMath1311.81158arXiv0911.1209OpenAlexW2047471101MaRDI QIDQ5251798
Nuno Costa Dias, João Nuno Prata, Franz Luef, Maurice A. De Gosson
Publication date: 21 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.1209
Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55)
Related Items
Quantum mechanics in phase space: the Schrödinger and the Moyal representations ⋮ A symplectic extension map and a new Shubin class of pseudo-differential operators ⋮ A pseudo-differential calculus on non-standard symplectic space; spectral and regularity results in modulation spaces ⋮ Deformation of noncommutative quantum mechanics ⋮ Phase space quantum mechanics ⋮ Noncommutative mapping from the symplectic formalism ⋮ Wigner functions on non-standard symplectic vector spaces ⋮ METAPLECTIC FORMULATION OF THE WIGNER TRANSFORM AND APPLICATIONS
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