English

On the Dirac Oscillator

High Energy Physics - Theory 2008-11-26 v2

Abstract

In the present work we obtain a new representation for the Dirac oscillator based on the Clifford algebra C7.C\ell_7. The symmetry breaking and the energy eigenvalues for our model of the Dirac oscillator are studied in the non-relativistic limit.

Keywords

Cite

@article{arxiv.0707.1157,
  title  = {On the Dirac Oscillator},
  author = {R. de Lima Rodrigues},
  journal= {arXiv preprint arXiv:0707.1157},
  year   = {2008}
}

Comments

10 pages, no figure. News references and comments. This work begun in collaboration with Jambunatha Jayaraman (In memory) and Arvind Narayan Vaidya (In memory), author's Ph. D. supervisors, whose advises and encouragement were fundamental in the development of the thesis. To appear in Physics Letters A

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