On the physics of the $so_q(4)$ hydrogen atom

P. G. Castro; R. Kullock

doi:10.1007/s11232-015-0372-1

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arXiv · 1211.6578

On the physics of the $so_q(4)$ hydrogen atom

P. G. Castro·R. Kullock

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Abstract

In this work we investigate the $q$-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 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.

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P. G. Castro, R. Kullock. 2012-11-28. On the physics of the $so_q(4)$ hydrogen atom. https://doi.org/10.1007/s11232-015-0372-1

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