Dirac equation, hydrogen atom spectrum and the Lamb shift in dynamical noncommutative spaces

Autor:	Alavi, S. A., Rezaei, N.
Rok vydání:	2016
Předmět:	High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics Quantum Physics
Zdroj:	Pramana - J Phys (2017) 88: 77
Druh dokumentu:	Working Paper
DOI:	10.1007/s12043-017-1381-4
Popis:	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. Comment: 8 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1612.05942 Zobrazit plný text záznamu View this record from Arxiv