Solution of the Dirac equation with position-dependent mass in the Coulomb field
Alhaidari, A. D.
arXiv, 0310030 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-10-16
Classification:  Mathematical Physics 
@article{0310030,
     author = {Alhaidari, A. D.},
     title = {Solution of the Dirac equation with position-dependent mass in the
  Coulomb field},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0310030}
}

Alhaidari, A. D. Solution of the Dirac equation with position-dependent mass in the
  Coulomb field. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0310030/