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The Dirac-Oscillator Green's function

High Energy Physics - Theory 2009-11-10 v1

Abstract

We obtain the two-point Green's function for the relativistic Dirac-Oscillator problem. This is accomplished by setting up the relativistic problem in such a way that makes comparison with the nonrelativistic problem highly transparent and results in a map of the latter into the former. The relativistic bound states energy spectrum is obtained by locating the energy poles of this Green's function in a simple and straightforward manner.

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Cite

@article{arxiv.hep-th/0405020,
  title  = {The Dirac-Oscillator Green's function},
  author = {A. D. Alhaidari},
  journal= {arXiv preprint arXiv:hep-th/0405020},
  year   = {2009}
}

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7 pages