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arXiv · 2411.10824

On the degeneracy of the energy levels of Schroedinger and Klein-Gordon equations on Riemannian coverings

Claudia Maria Chanu·Giovanni Rastelli
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Abstract

We study the degeneracy of the energy levels of the Schroedinger equation with Kepler-Coulomb potential and of the Klein-Gordon equation on Riemannian coverings of the Euclidean space and of the Schwarzschild space-time respectively. Degeneracy of energy levels is a consequence of the superintegrability of the system. We see how the degree of degeneracy changes depending on the covering parameter k, the parameter that in space-times can be related with a cosmic string, and show examples of lower degeneracy in correspondence of non integer values of k.

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Claudia Maria Chanu, Giovanni Rastelli. 2024-11-16. On the degeneracy of the energy levels of Schroedinger and Klein-Gordon equations on Riemannian coverings. https://arxiv.org/abs/2411.10824

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