Noncommutative of space-time and the relativistic Hydrogen atom
arXiv:1212.0208 · doi:10.1088/1742-6596/435/1/012020
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.
10 pages. arXiv admin note: substantial text overlap with arXiv:1101.0355
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