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

B. R. McQuarrie, E. R. Vrscay

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10 Scopus citations

Abstract

The relativistic hypervirial and Hellmann-Feynman theorems for the Klein-Gordon (KG) equation are used to construct Rayleigh-Schrödinger (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 rk, k=1,2,.... In the scalar case, such potentials are confining and the RS expansions exhibit Stieltjes behavior for k1 and Padé summability for k=1,2.

Original languageEnglish (US)
Pages (from-to)868-875
Number of pages8
JournalPhysical Review A
Volume47
Issue number2
DOIs
StatePublished - 1993
Externally publishedYes

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