Abstract
We obtain exact solution of the Dirac equation for a charged particle with position-dependent mass in the Coulomb field. The effective mass of the spinor has a relativistic component which is proportional to the square of the Compton wavelength and varies as 1/r. It is suggested that this model could be used as a tool in the renormalization of ultraviolet divergences in field theory. The discrete energy spectrum and spinor wave-function are obtained explicitly.
| Original language | English |
|---|---|
| Pages (from-to) | 72-77 |
| Number of pages | 6 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 322 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 23 Feb 2004 |
Keywords
- Coulomb potential
- Dirac equation
- Position-dependent mass
- Relativistic spectrum
- Renormalization
ASJC Scopus subject areas
- General Physics and Astronomy