Higher-order perturbation theory for the bound states of the Dirac equation with a Yukawa-type potential
Journal Article
·
· Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
OSTI ID:6234852
The method of calculating higher orders of perturbation theory based on perturbation of the Fock operator with a purely discrete spectrum is generalized to the case of the Dirac equation with a potential of the Yukawa type. Corrections to any order of perturbation theory in the energy of an arbitrary bound state are given as finite polynomials which are determined through recurrence relations derived from the dynamical symmetry of the unperturbed problem. We propose a modified Pade approximant method which can be used to transform a divergent perturbation series into a rapidly convergent sequence for all bound and quasistationary states of the system.
- Research Organization:
- S. I. Vavilov State Optical Institute
- OSTI ID:
- 6234852
- Journal Information:
- Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 39:5; ISSN SJNCA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Comparison of unitary and Pade sums of the perturbation series for the scattering of a spinless particle from a Yukawa potential
Relativistic bound-state problem in the light-front Yukawa model
Hydrogen atom with a Yukawa potential: Perturbation theory and continued-fractions--Pade approximants at large order
Journal Article
·
Tue Jun 01 00:00:00 EDT 1976
· Phys. Rev., A; (United States)
·
OSTI ID:7354626
Relativistic bound-state problem in the light-front Yukawa model
Journal Article
·
Sun Feb 14 19:00:00 EST 1993
· Physical Review, D (Particles Fields); (United States)
·
OSTI ID:7178595
Hydrogen atom with a Yukawa potential: Perturbation theory and continued-fractions--Pade approximants at large order
Journal Article
·
Fri Jan 31 23:00:00 EST 1986
· Phys. Rev. A; (United States)
·
OSTI ID:6286430