Green Function for Spin 1/2 particle in a Coulomb + Scalar Potential
Arvind Narayan Vaidya, Luiz Eduardo Silva Souza (Universidade Federal, do Rio de Janeiro)
TL;DR
This paper derives the Green function for a spin 1/2 particle governed by the Dirac equation with combined Coulomb and scalar potentials, and determines its bound state spectrum.
Contribution
It provides a novel calculation of the Green function for the Dirac equation with combined Coulomb and scalar potentials, and derives the bound state spectrum.
Findings
Green function for Dirac particle with Coulomb + scalar potential calculated
Bound state spectrum obtained for the combined potential
Analytical expressions derived for the Green function and spectrum
Abstract
We calculate the Green function for the Dirac equation describing a spin 1/2 particle in the presence of a potential which is a sum of the Coulomb potential V_C=-A_1/r and a Lorentz scalar potential V_S=-A_2/r. The bound state spectrum is obtained.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum and Classical Electrodynamics · Spectral Theory in Mathematical Physics