Iterative solutions to the Dirac equation
Ciftci, Hakan ; Hall, Richard L. ; Saad, Nasser
arXiv, 0505069 / Harvested from arXiv
We consider a single particle which is bound by a central potential and obeys the Dirac equation in d dimensions. We first apply the asymptotic iteration method to recover the known exact solutions for the pure Coulomb case. For a screened-Coulomb potential and for a Coulomb plus linear potential with linear scalar confinement, the method is used to obtain accurate approximate solutions for both eigenvalues and wave functions.
Publié le : 2005-05-26
Classification:  Mathematical Physics
@article{0505069,
     author = {Ciftci, Hakan and Hall, Richard L. and Saad, Nasser},
     title = {Iterative solutions to the Dirac equation},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505069}
}
Ciftci, Hakan; Hall, Richard L.; Saad, Nasser. Iterative solutions to the Dirac equation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505069/