Journal of Physical Studies 14(1), Article 1001 [5 pages] (2010) DOI: https://doi.org/10.30970/jps.14.1001 PERTURBATION HYDROGEN-ATOM SPECTRUM IN A SPACE WITH THE LORENTZ-COVARIANT DEFORMED ALGEBRA WITH MINIMAL LENGTH M. I. Samar, V. M. Tkachuk Department for Theoretical Physics, Ivan Franko National University of Lviv 12, Drahomanov St., Lviv, Ukraine

We study energy spectrum of the hydrogen atom problem in the Dirac theory with the Lorentz-covariant deformed algebra leading to minimal length. Using conventional perturbation theory we calculate the correction to any energy level besides some ‟problem states” in a simple case of deformation when one deformation parameter vanishes.

PACS number(s): 02.40.Gh, 03.65.Pm, 31.15.Xp

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