Magnetic moment effects from time-space non-commutativity in the Dirac equation for hydrogen atom (original) (raw)
In this work we present an important contribution to the non-commutative approach to the hydrogen atom to deal with lamb shift corrections. This can be done by studying the Klien-Gordon and Dirac equations in a non-commutative space-time. Applying these results to the Hydrogen atom up to first-order of the non-commutativity parameter using the Seiberg-Witten maps. We thus find the non-commutative modification of the energy levels and by comparing with the result of the current experimental results on the Lamb shift of the 2P level to extract a bound on the parameter of non-commutativity, we show that the fundamental length (Sqrt.theta) is compatible with the value of the electroweak length scale (l). Phenomenologically we show that the non-commutativity effects induce lamb shift corrections.
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