Relativistic spectrum of hydrogen atom in the spacetime noncommutativity
Abstract
We study spacetime noncommutativity applied to the hydrogen atom 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 spacetime noncommutative parameter.
 Publication:

The 8th International Conference on Progress in Theoretical Physics (ICPTP 2011)
 Pub Date:
 June 2012
 DOI:
 10.1063/1.4715429
 arXiv:
 arXiv:1208.6023
 Bibcode:
 2012AIPC.1444..253M
 Keywords:

 angular momentum;
 Dirac equation;
 hydrogen neutral atoms;
 Lamb shift;
 noncommutative field theory;
 perturbation theory;
 potential energy functions;
 relativistic corrections;
 11.10.Ef;
 11.10.Nx;
 12.38.Bx;
 32.70.Jz;
 Lagrangian and Hamiltonian approach;
 Noncommutative field theory;
 Perturbative calculations;
 Line shapes widths and shifts;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 5 pages, 1 table, ICPTP 2011 Constantine, Algeria