Iterative solutions to the Dirac equation
arXiv:math-ph/0505069 · doi:10.1103/PhysRevA.72.022101
Abstract
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.
18 pages