Phase-Space Noncommutativity and the Dirac Equation

Details Phase-Space Noncommutativity and the Dirac Equation Phase-Space Noncommutativity and the Dirac Equation

2011-05-13

arxiv.org/abs/1105.2774v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. To match version to appear in Physics Letters A

Scientific paper

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 $\eta$, $\sqrt{\eta}\lsim2.26\mu eV/c$.

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