A New Limit for the Non-Commutative Space-Time Parameter

Details A New Limit for the Non-Commutative Space-Time Parameter A New Limit for the Non-Commutative Space-Time Parameter

2009-07-10

arxiv.org/abs/0907.1904v5

Journal of Geometry and Physics, Volume 61, Issue 1, January 2011, Pages 151-156

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages; no figures or tables

Scientific paper

10.1016/j.geomphys.2010.09.010

We study space-time noncommutativity applied to the hydrogen atom and the phenomenological aspects induced. We find that the noncommutative effects are similar to those obtained by considering the extended charged nature of the proton in the atom. To the first order in the noncommutative parameter, it is equivalent to an electron in the fields of a Coulomb potential and an electric dipole and this allows us to get a bound for the parameter. In a second step, we compute noncommutative corrections of the energy levels and find that they are at the second order in the parameter of noncommutativity. By comparing our results to those obtained from experimental spectroscopy, we get another limit for the parameter.

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