Iterative solutions to the Dirac equation

Details Iterative solutions to the Dirac equation Iterative solutions to the Dirac equation

2005-05-26

arxiv.org/abs/math-ph/0505069v1

Phys. Rev. A 72, 022101 (2005)

Physics

Mathematical Physics

18 pages

Scientific paper

10.1103/PhysRevA.72.022101

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.

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