The Relativistic Dirac-Morse Green's function

Abstract

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.

8 pages

References in corpus (7)

• Energy spectrum of the relativistic Dirac-Morse problem
• Relativistic shape invariant potentials
• Solution of the relativistic Dirac-Morse problem
• Exact solutions of Dirac and Schrodinger equations for a large class of power-law potentials at zero energy
• Graded extension of SO(2,1) Lie algebra and the search for exact solutions of Dirac equation by point canonical transformations
• Solution of the Dirac Equation for Potential Interaction
• Algebraic treatment of the confluent Natanzon potentials