Quasi-exact solvability of Dirac equation with Lorentz scalar potential
Ho, Choon-Lin
arXiv, 0511204 / Harvested from arXiv
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.
Publié le : 2005-11-21
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Quantum Physics
@article{0511204,
     author = {Ho, Choon-Lin},
     title = {Quasi-exact solvability of Dirac equation with Lorentz scalar potential},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511204}
}
Ho, Choon-Lin. Quasi-exact solvability of Dirac equation with Lorentz scalar potential. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511204/