Geodesic
Physics of the~$so_q(4)$ hydrogen atom
Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 2, pp. 361-368

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We investigate a $q$-deformation of the $so(4)$ dynamical symmetry of the hydrogen atom using the theory of the quantum group $su_q(2)$. We derive the energy spectrum in a physically consistent manner and find a degeneracy breaking and also a smaller Hilbert space. We note that using the deformed Casimir as was previously done leads to inconsistencies in the physical interpretation of the theory.
Keywords: hydrogen atom, quantum group, dynamical symmetry. 
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     author = {P. G. Castro and R. Kullock},
     title = {Physics of the~$so_q(4)$ hydrogen atom},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {361--368},
     publisher = {mathdoc},
     volume = {185},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_185_2_a7/}
}
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P. G. Castro; R. Kullock. Physics of the~$so_q(4)$ hydrogen atom. Teoretičeskaâ i matematičeskaâ fizika, Tome 185 (2015) no. 2, pp. 361-368. http://geodesic.mathdoc.fr/item/TMF_2015_185_2_a7/