Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical non-commutative spaces

@article{Alavi2017DiracEH,
  title={Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical non-commutative spaces},
  author={S. A. Alavi and Neda Rezaei},
  journal={Pramana},
  year={2017},
  volume={88},
  pages={1-5}
}
We derive the relativistic Hamiltonian of hydrogen atom in dynamical non-commutative spaces (DNCS or τ-space). Using this Hamiltonian we calculate the energy shift of the ground state as well the 2P1/2, 2S1/2 levels. In all the cases, the energy shift depends on the dynamical non-commutative parameter τ. Using the accuracy of the energy measurement, we obtain an upper bound for τ. We also study the Lamb shift in DNCS. Both 2P1/2 and 2S1/2 levels receive corrections due to dynamical non… 
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