On the virial theorem in quantum mechanics

DOI10.1007/BF01702383zbMath0469.35041MaRDI QIDQ5904893

Herbert Leinfelder

Publication date: 1981

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorDirac operatorvirial theoremabsence of eigenvalues

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Hydrodynamic interpretation of generic squeezed coherent states: a kinetic theory ⋮ Pohozaev identity and virial theorem for the Dirac-Coulomb operator ⋮ \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation

Cites Work

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• The quantum mechanical virial theorem and the absence of positive energy bound states of Schrödinger operators
• The virial theorem in relativistic quantum mechanics
• Self-adjointness and invariance of the essential spectrum for Dirac operators defined as quadratic forms
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• Characterization and uniqueness of distinguished self-adjoint extensions of Dirac operators
• Essential self-adjointness of Schrödinger operators bounded from below
• Schrödingeroperatoren ohne Eigenwerte
• Elliptic Partial Differential Equations of Second Order
• Non-existence of eigenvalues of Schrödinger operators
• The virial theorem and its application to the spectral theory of Schrödinger operators

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