Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac oscillators
Ho, Choon-Lin ; Roy, Pinaki
arXiv, 0312130 / Harvested from arXiv
Text on arXiv
We demonstrate that neutral Dirac particles in external electric fields, which are equivalent to generalized Dirac oscillators, are physical examples of quasi-exactly solvable systems. Electric field configurations permitting quasi-exact solvability of the system based on the $sl(2)$ symmetry are discussed separately in spherical, cylindrical, and Cartesian coordinates. Some exactly solvable field configurations are also exhibited.
Publié le : 2003-12-12
Classification:  High Energy Physics - Theory,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Quantum Physics 
@article{0312130,
     author = {Ho, Choon-Lin and Roy, Pinaki},
     title = {Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac
  oscillators},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312130}
}

Ho, Choon-Lin; Roy, Pinaki. Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac
  oscillators. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312130/