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Title: Relativistic spectrum of hydrogen atom in the space-time non-commutativity

Abstract

We study space-time non-commutativity applied to the hydrogen atom and its phenomenological effects. We find that it modifies the Coulomb potential in the Hamiltonian and add an r{sup -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.

Authors:
; ;  [1];  [2];  [2]
  1. Matter Sciences Department, Faculty of SE and SNV, University of Biskra (Algeria)
  2. (Algeria)
Publication Date:
OSTI Identifier:
22069009
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1444; Journal Issue: 1; Conference: ICPTP 2011: 8. international conference on progress in theoretical physics, Constantine (Algeria), 23-25 Oct 2011; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ANGULAR MOMENTUM; ATOMS; COMMUTATION RELATIONS; CORRECTIONS; COULOMB FIELD; DIRAC EQUATION; FIELD THEORIES; HAMILTONIANS; HYDROGEN; LAMB SHIFT; PERTURBATION THEORY; POTENTIAL ENERGY; RELATIVISTIC RANGE; SPACE-TIME; SPECTROSCOPY

Citation Formats

Moumni, Mustafa, BenSlama, Achour, Zaim, Slimane, Laboratoire de Physique Mathematique et Subatomique, Mentouri University, Constantine, and Matter Sciences Department, Faculty of Sciences, University of Batna. Relativistic spectrum of hydrogen atom in the space-time non-commutativity. United States: N. p., 2012. Web. doi:10.1063/1.4715429.
Moumni, Mustafa, BenSlama, Achour, Zaim, Slimane, Laboratoire de Physique Mathematique et Subatomique, Mentouri University, Constantine, & Matter Sciences Department, Faculty of Sciences, University of Batna. Relativistic spectrum of hydrogen atom in the space-time non-commutativity. United States. doi:10.1063/1.4715429.
Moumni, Mustafa, BenSlama, Achour, Zaim, Slimane, Laboratoire de Physique Mathematique et Subatomique, Mentouri University, Constantine, and Matter Sciences Department, Faculty of Sciences, University of Batna. Wed . "Relativistic spectrum of hydrogen atom in the space-time non-commutativity". United States. doi:10.1063/1.4715429.
@article{osti_22069009,
title = {Relativistic spectrum of hydrogen atom in the space-time non-commutativity},
author = {Moumni, Mustafa and BenSlama, Achour and Zaim, Slimane and Laboratoire de Physique Mathematique et Subatomique, Mentouri University, Constantine and Matter Sciences Department, Faculty of Sciences, University of Batna},
abstractNote = {We study space-time non-commutativity applied to the hydrogen atom and its phenomenological effects. We find that it modifies the Coulomb potential in the Hamiltonian and add an r{sup -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.},
doi = {10.1063/1.4715429},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1444,
place = {United States},
year = {2012},
month = {6}
}