Rayleigh-Schroedinger perturbation theory at large order for radial Klein-Gordon equations
Journal Article
·
· Physical Review A; (United States)
- Department of Applied Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, Ontario, N2L3G1 (Canada)
The relativistic hypervirial and Hellmann-Feynman theorems for the Klein-Gordon (KG) equation are used to construct Rayleigh-Schroedinger (RS) perturbation expansions to arbitrary order. The method is applied to the KG equation for a particle in an attractive Coulomb-type vector potential with perturbing vector or scalar potentials of the form [lambda][ital r][sup [ital k]], [ital k]=1,2, . . . . In the scalar case, such potentials are confining and the RS expansions exhibit Stieltjes behavior for [ital k][ge]1 and Pade summability for [ital k]=1,2.
- OSTI ID:
- 6749886
- Journal Information:
- Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 47:2; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ELEMENTS
EQUATIONS
HYDROGEN
KLEIN-GORDON EQUATION
NONMETALS
PADE APPROXIMATION
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
POTENTIALS
RAYLEIGH-SCHROEDINGER FORMULA
RECURSION RELATIONS
VARIATIONAL METHODS
WAVE EQUATIONS
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ELEMENTS
EQUATIONS
HYDROGEN
KLEIN-GORDON EQUATION
NONMETALS
PADE APPROXIMATION
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
POTENTIALS
RAYLEIGH-SCHROEDINGER FORMULA
RECURSION RELATIONS
VARIATIONAL METHODS
WAVE EQUATIONS