Perturbation hydrogen-atom spectrum in deformed space with minimal length

Details Perturbation hydrogen-atom spectrum in deformed space with minimal length Perturbation hydrogen-atom spectrum in deformed space with minimal length

2006-03-06

arxiv.org/abs/quant-ph/0603042v1

Phys. Rev. A. 74, 012101, 2006

Physics

Quantum Physics

9 pages, 3 figures

Scientific paper

10.1103/PhysRevA.74.012101

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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