On the physics of the $so_q(4)$ hydrogen atom
Quantum Physics
2015-12-14 v3 Mathematical Physics
math.MP
Abstract
In this work we investigate the -deformation of the dynamical symmetry of the hydrogen atom using the theory of the quantum group . We derive the energy spectrum in a physically consistent manner and find a degeneracy breaking as well as a smaller Hilbert space. We point out that using the deformed Casimir as was done before leads to inconsistencies in the physical interpretation of the theory.
Keywords
Cite
@article{arxiv.1211.6578,
title = {On the physics of the $so_q(4)$ hydrogen atom},
author = {P. G. Castro and R. Kullock},
journal= {arXiv preprint arXiv:1211.6578},
year = {2015}
}
Comments
10 pages; major changes to section 3