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arXiv · 1510.06196

Spectrum of the hydrogen atom in Snyder space in a semiclassical approximation

B. Ivetic·S. Mignemi·A. Samsarov
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Abstract

We study the spectrum of the hydrogen atom in Snyder space in a semiclassical approximation based on a generalization of the Born-Sommerfeld quantization rule. While the corrections to the standard quantum mechanical spectrum arise at first order in the Snyder parameter for the $l=0$ states, they are of second order for $l\neq 0$. This can be understood as due to the different topology of the regions of integration in phase space.

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B. Ivetic, S. Mignemi, A. Samsarov. 2015-10-21. Spectrum of the hydrogen atom in Snyder space in a semiclassical approximation. https://doi.org/10.1103/physreva.93.032109

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