VIRIAL THEOREM AND ITS GENERALIZATIONS IN SCATTERING THEORY

Journal Article · Fri Feb 01 04:00:00 EST 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.129.1391· OSTI ID:4705692

Robinson, P D; Hirschfelder, J O

Heretofore, the hypervirial theorems recently introduced by Hirschfelder have only been applied to bound-state systems. In this paper it is shown that, with certain modifications, these theorems can also be applied to free systems, and, in particular, to scattering problems. The new form of the general hypervirial theorem is derived, and the theory is illustrated with the problem of a particle scattered by a central field. The ordinary virial theorem is deduced, together with other results of physical interest. Both classical and quantum- mechanical formalisms are considered, and in some cases the semiclassical approximation links corresponding results. (auth)

• Research Organization: Univ. of Wisconsin, Madison
• NSA Number: NSA-17-011908
• OSTI ID: 4705692
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 129; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BINDING ENERGY
BOUND STATE
CONFIGURATION
INTERACTIONS
MATHEMATICS
PARTICLES
PHYSICS
QUANTUM MECHANICS
SCATTERING
STATISTICS
VIRIAL THEOREM