Quantum harmonic analysis on phase space

DOI10.1063/1.526310zbMath0557.43003OpenAlexW2090324061WikidataQ62124878 ScholiaQ62124878MaRDI QIDQ3222698

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Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526310

zbMATH Keywords

Banach algebrassymplectic spacequantum-classical correspondencenatural convolution operationWeyl prescriptionWiener's approximation theorem

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Other transforms and operators of Fourier type (43A32) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

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Cites Work

• The classical limit of quantum partition functions
• Covariant measurements and uncertainty relations
• On the distributions corresponding to bounded operators in the Weyl quantization
• Parity operator and quantization of \(\delta\)-functions
• Inequalities in Fourier analysis
• An algebra of pseudodifferential operators and the asymptotics of quantum mechanics
• Die Eindeutigkeit der Schrödingerschen Operatoren
• On the Quantum Correction For Thermodynamic Equilibrium
• Transforms for Operators and Symplectic Automorphisms over a Locally Compact Abelian Group.