Articles written in Pramana – Journal of Physics

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


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      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.

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