The Relativistic Dirac-Morse Green's function

Details The Relativistic Dirac-Morse Green's function The Relativistic Dirac-Morse Green's function

2003-06-12

arxiv.org/abs/hep-th/0306115v1

J.Math.Phys. 45 (2004) 2258-2265

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

Using a recently developed approach for solving the three dimensional Dirac equation with spherical symmetry, we obtain the two-point Green's function of the relativistic Dirac-Morse 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 mapping of the latter into the former. The relativistic bound states energy spectrum is easily obtained by locating the energy poles of the Green's function components in a simple and straightforward manner.

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