Abstract
We propose a relativistic one-parameter Hermitian theory for the Coulomb problem with an electric charge greater than 137. In the nonrelativistic limit, the theory becomes identical to the SchrödingerCoulomb problem for all Z. Moreover, it agrees with the DiracCoulomb problem to order (αZ) 2, where α is the fine structure constant. The vacuum in the theory is stable and does not suffer from the "charged vacuum" problem for all Z. Moreover, transition between positive and negative energy states could be eliminated. The relativistic bound states energy spectrum and corresponding spinor wave functions are obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 3703-3714 |
| Number of pages | 12 |
| Journal | International Journal of Modern Physics A |
| Volume | 25 |
| Issue number | 18-19 |
| DOIs | |
| State | Published - 30 Jul 2010 |
Bibliographical note
Funding Information:This work is sponsored by the Saudi Center for Theoretical Physics. Partial support by King Fahd University of Petroleum and Minerals is highly appreciated.
Keywords
- DiracCoulomb
- QED vacuum
- Z greater than 137
- charged vacuum
- hydrogen-like atoms
- relativistic energy spectrum
- spinor bound states
- stable vacuum
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Astronomy and Astrophysics