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Phys. Rev. A 72, 022101 (2005) [7 pages]

Iterative solutions to the Dirac equation

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Hakan Ciftci1,3, Richard L. Hall1, and Nasser Saad2
1Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, Canada H3G 1M8
2Department of Mathematics and Statistics, University of Prince Edward Island, 550 University Avenue, Charlottetown, Prince Edward Island, Canada C1A 4P3.
3Fen-Edebiyat Fakültesi, Fizik Bölümü, Gazi Universitesi, 06500 Teknikokullar, Ankara, Turkey

Received 7 April 2005; published 1 August 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.022101
DOI:
10.1103/PhysRevA.72.022101
PACS:
03.65.Pm, 31.15.Bs, 31.30.Jv
 
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