2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116901The spectrum of the Dirac oscillator perturbed by the Coulomb potential is considered. The Regge trajectories for its bound states are obtained with the method of $\hbar$-expansion. It is shown that the split of the degenerate energy levels of the Dirac oscillator in the Coulomb field is approximately linear in the coupling constant.3 pages, 1 figure; published in proceedings of International Conference on Mathematical Methods in Electromagnetic Theory (MMET*06), Kharkiv, 26-28 June 2006, pp. 554-556; citation correctedAtomic PhysicsGeneral Physicstext