Unified derivation of exact solutions to the relativistic Coulomb problem: Lie algebraic approach
Department of Physics, University of Guilan, 41635-1914, Rasht, Iran
* e-mail: firstname.lastname@example.org
Revised: 28 August 2015
Accepted: 13 September 2015
Published online: 22 October 2015
Exact algebraic solutions of the D-dimensional Dirac and Klein-Gordon equations for the Coulomb potential are obtained in a unified treatment. It is shown that two cases are reducible to the same basic equation, which can be solved exactly. Using the Lie algebraic approach, the general exact solutions of the problem are obtained within the framework of representation theory of the sl(2) Lie algebra.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015