Solution of the Dirac equation by separation of variables in spherical coordinates for a class of three-parameter non-central electromagnetic potential
Jan, 200513 pages
Published in:
- Annals Phys. 320 (2005) 453,
- Annals Phys. 321 (2006) 1524-1525 (erratum)
e-Print:
- hep-th/0501122 [hep-th],
- hep-th/0501004 [hep-th]
View in:
Citations per year
Abstract:
We consider the three-dimensional Dirac equation in spherical coordinates with coupling to static electromagnetic potential. The space components of the potential have angular (non-central) dependence such that the Dirac equation is separable in all coordinates. We obtain exact solutions for the case where the potential satisfies the Lorentz gauge fixing condition and its time component is the Coulomb potential. The relativistic energy spectrum and corresponding spinor wavefunctions are obtained. The Aharonov-Bohm and magnetic monopole potentials are included in these solutions. The conventional relativistic units, = c = 1, are used.- 02.30.Gp
- 03.65.Ca
- 03.65.Pm
- 03.65.Ge
- 14.80.Hv
- Dirac equation
- separation of variables
- non-central potentials
- Aharonov-Bohm effect
- magnetic monopole
References(24)
Figures(0)