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Journal of Physical Studies 15(1), Article 1007 [7 pages] (2011)
DOI: https://doi.org/10.30970/jps.15.1007 MODIFIED PERTURBATION THEORY FOR HYDROGEN ATOM IN SPACE WITH LORENTZ-COVARIANT DEFORMED ALGEBRA WITH MINIMAL LENGTHM. I. Samar
Department of Theoretical Physics, Ivan Franko National University of Lviv,
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We study energy spectrum for the hydrogen atom problem in Dirac theory with Lorentz-covariant deformed algebra leading to minimal length. Developing perturbation theory free of divergencies we calculate the correction to any energy level in a simple case of deformation when one deformation parameter vanishes. Assuming that the effect of minimal length on energy spectrum cannot be seen experimentally we find the upper bound of minimal length.
PACS number(s): 02.40.Gh, 03.65.Pm, 31.15.xp