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arXiv · 1612.05942

Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical noncommutative spaces

S. A. Alavi·N. Rezaei
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Abstract

We derive the relativistic Hamiltonian of hydrogen atom in dynamical noncommutative spaces (DNCS or {\tau}-space). Using this Hamiltonian we calculate the energy shift of the ground state and as well the [2P]_(1/2), [2S]_(1/2) levels. In all cases the energy shift depend on the dynamical noncommutative parameter {\tau}. Using the accuracy of the energy measurement we obtain an upper bound for {\tau}. We also study the lamb shift in DNCS. Both the levels [2P]_(1/2) and [2S]_(1/2) receive corrections due to dynamical noncommutativity of space which is in contrast to the non-dynamical noncommutative spaces (NDNCS or {\theta}-space) in which the level [2S]_(1/2) receives no correction.

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S. A. Alavi, N. Rezaei. 2016-12-18. Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical noncommutative spaces. https://doi.org/10.1007/s12043-017-1381-4

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