Energy spectrum of the Dirac oscillator in the Coulomb field

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The 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 corrected

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