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

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      https://www.ias.ac.in/article/fulltext/pram/088/05/0077

    • Keywords

       

      Dirac equation; hydrogen atom; Lamb shift; dynamical non-commutative spaces

    • Abstract

       

      We derive the relativistic Hamiltonian of hydrogen atom in dynamical non-commutative spaces (DNCS or $\tau$ -space). Using this Hamiltonian we calculate the energy shift of the ground state as well the $2P_{1/2}$, $2S_{1/2}$levels. In all the cases, the energy shift depends on the dynamical non-commutative parameter $\tau$. Using the accuracy of the energy measurement, we obtain an upper bound for $\tau$. We also study the Lamb shift in DNCS. Both $2P_{1/2}$ and $2S_{1/2}$ levels receive corrections due to dynamical non-commutativity of space which is in contrast with the non-dynamical non-commutative spaces (NDNCS or $\theta$-space) in which the $2S_{1/2}$ level receives no correction.

    • Author Affiliations

       

      S A ALAVI1 N REZAEI1

      1. Department of Physics, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran
    • Dates

       
  • Pramana – Journal of Physics | News

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