Rayleigh-Schroedinger perturbation theory at large order for radial Klein-Gordon equations

Journal Article · Mon Feb 01 00:00:00 EST 1993 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.47.868· OSTI ID:6749886

McQuarrie, B R; Vrscay, E R ^[1]

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1. 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), Vol. 47:2; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
KLEIN-GORDON EQUATION
PERTURBATION THEORY
RAYLEIGH-SCHROEDINGER FORMULA
HYDROGEN
PADE APPROXIMATION
POTENTIALS
RECURSION RELATIONS
VARIATIONAL METHODS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ELEMENTS
EQUATIONS
NONMETALS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)