Phase-Space Noncommutativity and the Dirac Equation
arXiv:1105.2774 · doi:10.1016/j.physleta.2011.09.053
Abstract
We consider full phase-space noncommutativity in the Dirac equation, and find that in order to preserve gauge invariance, configuration space noncommutativity must be dropped. The resulting space structure gives rise to a constant magnetic field background and this effect is explicitly seen on the spectrum of the hydrogen atom. Computing this spectrum we find a bound on the momentum noncommutative parameter , $\sqrtη\lsim2.26μeV/c$.
11 pages. To match version to appear in Physics Letters A
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