Physics of the so q (4) hydrogen atom
Abstract
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.
- Publication:
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Theoretical and Mathematical Physics
- Pub Date:
- November 2015
- DOI:
- 10.1007/s11232-015-0372-1
- Bibcode:
- 2015TMP...185.1678C
- Keywords:
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- hydrogen atom;
- quantum group;
- dynamical symmetry