We apply the Schr\"odinger factorization method to the radial second-order equation for the relativistic Kepler-Coulomb problem. From these operators we construct two sets of one-variable radial operators which are realizations for the su(1,1) Lie algebra. We use this algebraic structure to obtain the energy spectrum and the supersymmetric ground state for this system.
@article{arxiv.1006.3233,
title = {An $su(1,1)$ algebraic approach for the relativistic Kepler-Coulomb problem},
author = {M. Salazar-Ramírez and D. Martínez and R. D. Mota and V. D. Granados},
journal= {arXiv preprint arXiv:1006.3233},
year = {2014}
}