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≠0. This can be understood as due to the different topology of the regions of integration in phase space.
Spectrum of the hydrogen atom in Snyder space in a semiclassical approximation
IVETIC, BORIS;MIGNEMI, SALVATORE;SAMSAROV, ANDELO
2016
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≠0. This can be understood as due to the different topology of the regions of integration in phase space.
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