Published August 2005 | Version v1
Journal article Metadata-only

Iterative solutions to the Dirac equation

Creators

  • 1. Fen-Edebiyat Fakueltesi, Fizik Boeluemue, Gazi Universitesi, 06500 Teknikokullar, Ankara (Turkey)
  • 2. Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, Quebec, H3G 1M8 (Canada)
  • 3. Department of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, Prince Edward Island, C1A 4P3 (Canada)

Description

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

Additional details

Identifiers

DOI
10.1103/PhysRevA.72.022101;
arXiv
arXiv:math-ph/0505069v1;

Publishing Information

Journal Title
Physical Review. A
Journal Volume
72
Journal Issue
2
Journal Page Range
p. 022101-022101.7
ISSN
1050-2947
CODEN
PLRAAN

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
37030310
Subject category
S74: ATOMIC AND MOLECULAR PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CENTRAL POTENTIAL; COULOMB FIELD; DIRAC EQUATION; EIGENFUNCTIONS; EIGENVALUES; EXACT SOLUTIONS; ITERATIVE METHODS; QUANTUM MECHANICS; RELATIVISTIC RANGE; SCALARS; WAVE FUNCTIONS
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; ENERGY RANGE; EQUATIONS; FIELD EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; WAVE EQUATIONS

Optional Information

Notes
(c) 2005 The American Physical Society