American Journal of Physics

Footnote to the quantum mechanical virial theorem

Frank S. Crawford

Published Jun 1, 1989• 4 citations

Publisher

Abstract

The quantum mechanical virial theorem is extended to a time dependent superposition of stationary bound states. (AIP)

DOI: 10.1119/1.15974

Related papers

Quantum virial theorem for time-dependent states

Juan Gonzalo Muga

American Journal of PhysicsFeb 1, 19944 citations

XLIV. The virial theorem in quantum mechanics.

T. L. Cottrell, S. Paterson

Summary A derivation is given of a form of the virial theorem in quantum mechanics suitable for the discussion of a system of particles in a box.

The London Edinburgh and Dublin Philosophical Magazine and Journal of ScienceApr 1, 195144 citations

Proof of the quantum virial theorem

Zhu Dongpei

Based on the Feynman–Hellmann theorem, a new proof of the quantum virial theorem is presented. The same approach is also used to derive the virial formulation in relativistic quantum mechanics and for the case where the vector potential exists.

American Journal of PhysicsMar 1, 19865 citations

On the virial theorem in quantum mechanics

Herbert Leinfelder

Integral Equations and Operator TheoryJun 1, 19815 citations

Simple derivation of the quantum mechanical virial theorem

T. C. Ernest

American Journal of PhysicsMay 1, 19911 citation

Virial theorem for bound and resonance states as a special case of the scattering virial theorem

Nimrod Moiseyev

The virial theorem for bound, virtual, and resonance states is derived, based on the virial theorem for scattering states proved by Demkov. The association of the complex virial theorem with Demkov's virial theorem is discussed.

Physical Review ANov 1, 198123 citations