The Dirac-Oscillator Green's function

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.

7 pages

Cited by in corpus (3)

• Spectroscopy of the Dirac oscillator perturbed by a surface delta potential
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• Canonical quantization of the Dirac oscillator field in (1+1) and (3+1) dimensions