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Title: Relativistic Spectrum of Hydrogen Atom in Space-Time Non-Commutativity
Authors: Mustapha, Moumni
Achor, BenSlama
Slimane, Zaim
Keywords: Space - time non - commutativity
Seiberg-Witten map
Lamb shift
Issue Date: 27-Jun-2012
Publisher: American Institute of Physics (AIP)
Citation: AIP Conf. Proc. 1444 (2011) 253-257
Abstract: We study space-time non-commutativity applied to the hydrogen atom via the Seiberg-Witten map and its phenomenological effects. We find that it modifies the Coulomb potential in the Hamiltonian and add an r-3 part. By calculating the energies from Dirac equation using perturbation theory, we study the modifications to the hydrogen spectrum. We find that it removes the degeneracy with respect to the total angular momentum quantum number and acts like a Lamb shift. Comparing the results with experimental values from spectroscopy, we get a new bound for the space-time non-commutative parameter. N.B: In precedent works (arXiv:0907.1904, arXiv:1003.5732 and arXiv:1006.4590), we have used the Bopp Shift formulation of non-commutativity but here use it à la Seiberg-Witten in the Relativistic case.
Description: Talk given at: THE 8TH INTERNATIONAL CONFERENCE ON PROGRESS IN THEORETICAL PHYSICS (ICPTP 2011) Conference date: 23–25 October 2011 Location: Constantine, Algeria ISBN: 978-0-7354-1040-4 Editors: N. Mebarki , J. Mimouni , N. Belaloui and K. Ait Moussa
ISSN: 0094-243X
Appears in Collections:Communications Internationales

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