Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-21
Annals Phys. 321 (2006) 2170-2182
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, no figures
Scientific paper
10.1016/j.aop.2005.12.005
We consider exact/quasi-exact solvability of Dirac equation with a Lorentz scalar potential based on factorizability of the equation. Exactly solvable and $sl(2)$-based quasi-exactly solvable potentials are discussed separately in Cartesian coordinates for a pure Lorentz potential depending only on one spatial dimension, and in spherical coordinates in the presence of a Dirac monopole.
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