English

Quasi-exact solvability of Dirac equation with Lorentz scalar potential

High Energy Physics - Theory 2009-11-11 v1 Mathematical Physics math.MP Exactly Solvable and Integrable Systems Quantum Physics

Abstract

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)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.

Keywords

Cite

@article{arxiv.hep-th/0511204,
  title  = {Quasi-exact solvability of Dirac equation with Lorentz scalar potential},
  author = {Choon-Lin Ho},
  journal= {arXiv preprint arXiv:hep-th/0511204},
  year   = {2009}
}

Comments

10 pages, no figures