Solution of the Dirac equation by separation of variables in spherical coordinates for a large class of non-central electromagnetic potentials
- Physics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261 (Saudi Arabia)
A systematic and intuitive approach for the separation of variables of the three-dimensional Dirac equation in spherical coordinates is presented. Using this approach, we consider coupling of the Dirac spinor to electromagnetic four-vector potential that satisfies the Lorentz gauge. The space components of the potential have angular (non-central) dependence such that the Dirac equation becomes separable in all coordinates. We obtain exact solutions for a class of three-parameter static electromagnetic potential whose time component is the Coulomb potential. The relativistic energy spectrum and corresponding spinor wave functions are obtained. The Aharonov-Bohm and magnetic monopole potentials are included in these solutions.
- OSTI ID:
- 20766974
- Journal Information:
- Annals of Physics (New York), Vol. 320, Issue 2; Other Information: DOI: 10.1016/j.aop.2005.07.001; PII: S0003-4916(05)00130-2; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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