Shifted 1/ N expansion for the Klein-Gordon equation with vector and scalar potentials

Journal Article · Tue Oct 01 00:00:00 EDT 1991 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.44.4142· OSTI ID:5219336

Mustafa, O; Sever, R ^[1]

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1. Department of Physics, Middle East Technical University, 06531 Ankara (Turkey)

The shifted 1/{ital N} expansion method has been extended to solve the Klein-Gordon equation with both scalar and vector potentials. The calculations are carried out to the third-order correction in the energy series. The analytical results are applied to a linear scalar potential to obtain the relativistic energy eigenvalues. Our numerical results are compared with those obtained by Gunion and Li (Phys. Rev. D 12, 3583 (1975)).

• OSTI ID: 5219336
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 44:7; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
BOUND STATE
CHARM PARTICLES
CHARMED BARYONS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
ELEMENTARY PARTICLES
ENERGY LEVELS
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
HADRONS
KLEIN-GORDON EQUATION
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
QUARKONIUM
WAVE EQUATIONS
WAVE FUNCTIONS