Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical noncommutative spaces
High Energy Physics - Theory
2017-04-20 v1 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Quantum Physics
Abstract
We derive the relativistic Hamiltonian of hydrogen atom in dynamical noncommutative spaces (DNCS or {\tau}-space). Using this Hamiltonian we calculate the energy shift of the ground state and as well the [2P]_(1/2), [2S]_(1/2) levels. In all cases the energy shift depend on the dynamical noncommutative 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 the levels [2P]_(1/2) and [2S]_(1/2) receive corrections due to dynamical noncommutativity of space which is in contrast to the non-dynamical noncommutative spaces (NDNCS or {\theta}-space) in which the level [2S]_(1/2) receives no correction.
Cite
@article{arxiv.1612.05942,
title = {Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical noncommutative spaces},
author = {S. A. Alavi and N. Rezaei},
journal= {arXiv preprint arXiv:1612.05942},
year = {2017}
}
Comments
8 pages, 1 figure