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The Dirac-Oscillator Green's Function

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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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Authors and Affiliations

  1. Physics Department, King Fahd University of Petroleum & Minerals, Box 5047, Dhahran, 31261, Saudi Arabia

    A. D. Alhaidari

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  1. A. D. Alhaidari
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Alhaidari, A.D. The Dirac-Oscillator Green's Function. International Journal of Theoretical Physics 43, 939–946 (2004). https://doi.org/10.1023/B:IJTP.0000048591.51927.e9

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  • DOI: https://doi.org/10.1023/B:IJTP.0000048591.51927.e9

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