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

Journal Article · Wed Jun 27 00:00:00 EDT 2012 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4715429· OSTI ID:22069009

Moumni, Mustafa; BenSlama, Achour; Zaim, Slimane ^[1]

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1. Matter Sciences Department, Faculty of SE and SNV, University of Biskra (Algeria)

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.

• OSTI ID: 22069009
• Journal Information: AIP Conference Proceedings, Vol. 1444, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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