S-matrix for spin 1/2 particle in a Coulomb + Scalar potential
Arvind Narayan Vaidya, Luiz Eduardo Silva Souza (Rio de Janeiro, Federal University)
TL;DR
This paper calculates the S-matrix for a spin 1/2 particle influenced by combined Coulomb and scalar potentials, providing insights into relativistic quantum scattering in such fields.
Contribution
It introduces a method to compute the S-matrix for a spin 1/2 particle in combined Coulomb and scalar potentials, extending previous single-potential analyses.
Findings
Explicit form of the S-matrix derived for the combined potentials.
Results applicable to relativistic quantum scattering problems.
Enhanced understanding of particle interactions in mixed potential fields.
Abstract
The S-matrix for a spin 1/2 particle in the presence of a potential which is the sum of the Coulomb potential V_c=-A_1/r and a Lorentz scalar potential V_s= -A_2/r is calculated
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