Quasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic Fields
Chiang, Chun-Ming ; Ho, Choon-Lin
arXiv, 0501035 / Harvested from arXiv
Text on arXiv
The Dirac equation for an electron in two spatial dimensions in the Coulomb and homogeneous magnetic fields is a physical example of quasi-exactly solvable systems. This model, however, does not belong to the classes based on the algebra $sl(2)$ which underlies most one-dimensional and effectively one-dimensional quasi-exactly solvable systems. In this paper we demonstrate that the quasi-exactly solvable differential equation possesses a hidden $osp(2,2)$ superalgebra.
Publié le : 2005-01-09
Classification:  Quantum Physics,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0501035,
     author = {Chiang, Chun-Ming and Ho, Choon-Lin},
     title = {Quasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic
  Fields},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0501035}
}

Chiang, Chun-Ming; Ho, Choon-Lin. Quasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic
  Fields. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0501035/