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

• # Fulltext

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

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

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019