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arXiv · 1212.0208

Noncommutative of space-time and the relativistic Hydrogen atom

Slimane Zaim·Yazid Delenda
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Abstract

We study the Klein-Gordon equation in a non-commutative space-time as applied to the Hydrogen atom to extract the energy levels, by considering the second-order corrections in the non-commutativity paramete and by comparing to the 2S - 1S transition accuracy we get a bound on the parameter of noncommutativity. Phenomenologically we show that non-commutativity is the source of lamb shift corrections and spin electron.

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Slimane Zaim, Yazid Delenda. 2012-12-02. Noncommutative of space-time and the relativistic Hydrogen atom. https://doi.org/10.1088/1742-6596%2F435%2F1%2F012020

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