Abstract
We study the Dirac equation in 3+1 dimensions with non-minimal coupling to an isotropic radial three-vector potential and in the presence of a static electromagnetic potential. The space component of the electromagnetic potential has angular (non-central) dependence such that the Dirac equation separates completely in spherical coordinates. We obtain solutions for the case where the three-vector potential is linear in the radial coordinate (Dirac oscillator) and the time component of the electro-magnetic potential vanishes. The relativistic energy spectrum and spinor eigenfunctions are obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 651-664 |
| Number of pages | 14 |
| Journal | Foundations of Physics Letters |
| Volume | 18 |
| Issue number | 7 |
| DOIs | |
| State | Published - Dec 2005 |
Keywords
- Aharonov-Bohm effect
- Dirac equation
- Dirac oscillator
- Energy spectrum
- Magnetic monopole
- Separation of variables
ASJC Scopus subject areas
- General Physics and Astronomy
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