The hypervirial and viral theorems in terms of Weyl symbols

DOI10.1007/s11868-018-0249-9OpenAlexW2799428963MaRDI QIDQ1782223

G. Richomme

Publication date: 19 September 2018

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-018-0249-9

zbMATH Keywords

Wigner distributionvirial theoremWeyl symbolsgeneralized phase-space distributionshypervirial theorem

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Pseudodifferential operators (47G30)

Cites Work

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• The Wigner distribution for classical systems
• Weyl transforms
• Hypervirial theorems
• The virial theorem for a class of singular pseudo-differential operators on \({\mathbb {R}}^n\)
• The Weyl Operator and its Generalization
• An Introduction to Pseudo-Differential Operators
• Exponential Operators and Parameter Differentiation in Quantum Physics

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