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Perturbation hydrogen-atom spectrum in deformed space with minimal length

M. M. Stetsko·V. M. Tkachuk
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Abstract

We study energy spectrum for hydrogen atom with deformed Heisenberg algebra leading to minimal length. We develop correct perturbation theory free of divergences. It gives a possibility to calculate analytically in the 3D case the corrections to $s$-levels of hydrogen atom caused by the minimal length. Comparing our result with experimental data from precision hydrogen spectroscopy an upper bound for the minimal length is obtained.

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M. M. Stetsko, V. M. Tkachuk. 2006-03-06. Perturbation hydrogen-atom spectrum in deformed space with minimal length. https://doi.org/10.1103/physreva.74.012101

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