Iterative solutions to the Dirac equation

Journal Article · Mon Aug 15 04:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.022101· OSTI ID:20718047

Ciftci, Hakan ^[1]; Hall, Richard L ^[1]; Saad, Nasser ^[2]

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1. Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, Quebec, H3G 1M8 (Canada)
2. Department of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, Prince Edward Island, C1A 4P3 (Canada)

We consider a single particle which is bound by a central potential and obeys the Dirac equation in d dimensions. We first apply the asymptotic iteration method to recover the known exact solutions for the pure Coulomb case. For a screened Coulomb potential and for a Coulomb plus linear potential with linear scalar confinement, the method is used to obtain accurate approximate solutions for both eigenvalues and wave functions.

• OSTI ID: 20718047
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 72; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CENTRAL POTENTIAL
COULOMB FIELD
DIRAC EQUATION
EIGENFUNCTIONS
EIGENVALUES
EXACT SOLUTIONS
ITERATIVE METHODS
QUANTUM MECHANICS
RELATIVISTIC RANGE
SCALARS
WAVE FUNCTIONS