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arXiv · 0904.2836

Dirac Equation in Noncommutative Space for Hydrogen Atom

T. C. Adorno·M. C. Baldiotti·M. Chaichian·D. M. Gitman·A. Tureanu
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Abstract

We consider the energy levels of a hydrogen-like atom in the framework of $θ$-modified, due to space noncommutativity, Dirac equation with Coulomb field. It is shown that on the noncommutative (NC) space the degeneracy of the levels $2S_{1/2}, 2P_{1/2}$ and $ 2P_{3/2}$ is lifted completely, such that new transition channels are allowed.

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T. C. Adorno, M. C. Baldiotti, M. Chaichian, D. M. Gitman, A. Tureanu. 2009-07-06. Dirac Equation in Noncommutative Space for Hydrogen Atom. https://doi.org/10.1016/j.physletb.2009.11.003

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