Perturbation hydrogen-atom spectrum in deformed space with minimal length

M. M. Stetsko, V. M. Tkachuk

Published 2006-03-06Version 1

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.