Noncommutative of space-time and the relativistic Hydrogen atom
Mathematical Physics
2013-04-30 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1212.0208,
title = {Noncommutative of space-time and the relativistic Hydrogen atom},
author = {Slimane Zaim and Yazid Delenda},
journal= {arXiv preprint arXiv:1212.0208},
year = {2013}
}
Comments
10 pages. arXiv admin note: substantial text overlap with arXiv:1101.0355