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 language | English (US) |
|---|---|
| Pages (from-to) | 868-875 |
| Number of pages | 8 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 47 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1993 |
| Externally published | Yes |
Fingerprint
Dive into the research topics of 'Rayleigh-Schrödinger perturbation theory at large order for radial Klein-Gordon equations'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS