The virial theorem for a class of singular pseudo-differential operators on \({\mathbb {R}}^n\)

DOI10.1007/S11868-015-0117-9zbMath1317.47051OpenAlexW2163393139MaRDI QIDQ2352163

Shahla Molahajloo

Publication date: 30 June 2015

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

Full work available at URL: https://doi.org/10.1007/s11868-015-0117-9

zbMATH Keywords

kinetic energypotential energyvirial theoremclassical mechanicsrelativistic Hamiltonianssingular pseudo-differential operators

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Pseudodifferential operators (47G30)

Related Items (1)

The hypervirial and viral theorems in terms of Weyl symbols

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On an abstract differential equation and its application to positive eigenvalues of Schrödinger operators
• On positive eigenvalues of one-body schrödinger operators: Remarks on papers by agmon and simon
• An Introduction to Pseudo-Differential Operators
• The virial theorem and its application to the spectral theory of Schrödinger operators
• On positive eigenvalues of one‐body schrödinger operators
• A sharp form of the Virial theorem

This page was built for publication: The virial theorem for a class of singular pseudo-differential operators on \({\mathbb {R}}^n\)