engleski

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

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.

Snyder space ; symplectic form ; hydrogen atom

Ovaj rad je nastao unutar projekta Marie Curie FP7-PEOPLE-2011-COFUND, projekt NEWFELPRO, financiranog od strane Europske komisije i MZOS-a. This work was by the European Commission and the Croatian Ministry of Science, Education and Sports through grant project financed under the Marie Curie FP7- PEOPLE-2011-COFUND, project NEWFELPRO.