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

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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.

### Author and article information

###### Journal
1510.06196
10.1103/PhysRevA.93.032109

Quantum physics & Field theory