Quasi-exact solvability of Dirac equation with Lorentz scalar potential

Details Quasi-exact solvability of Dirac equation with Lorentz scalar potential Quasi-exact solvability of Dirac equation with Lorentz scalar potential

2005-11-21

arxiv.org/abs/hep-th/0511204v1

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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