Exact energy eigenvalues of the generalized Dirac-Coulomb equation via a modified similarity transformation
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
With the aid of a modified similarity transformation we obtained exact energy eigenvalues of the generalized Dirac-Coulomb equation. This equation consists of the time component of the Lorentz 4-vector potential V_v(r)=-A_1/r, and a Lorentz scalar potential V_s(r)=-A_2/r. The transformed radial equations are so simple that their solutions are inferred from the conventional solutions of the Schrodinger equation.
Keywords
Cite
@article{arxiv.math-ph/9910030,
title = {Exact energy eigenvalues of the generalized Dirac-Coulomb equation via a modified similarity transformation},
author = {Omar Mustafa and Thabit Barakat},
journal= {arXiv preprint arXiv:math-ph/9910030},
year = {2007}
}
Comments
9 pages, Latex file