Green's function for the relativistic Coulomb system via sum over perturbation series

1998/09/18 by De‐Hone Lin, De-Hone Lin
Physics and Astronomy · #Electromagnetic Scattering and Analysis #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #quant-ph

paper · pdf · doi:10.1088/0305-4470/31/37/015

published as J.Phys.A31:7577,1998 · 13 pages, ReVTeX, no figures

openalex publication_date 1998/09/18 · arxiv created 1999/01/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We evaluate the Green's function of the D -dimensional relativistic Coulomb system via sum over perturbation series which is obtained by expanding the exponential containing the potential term in the path integral into a power series. The energy spectra and wavefunctions are extracted from the resulting amplitude.

Citations

• Formulas and Theorems for the Special Functions of Mathematical Physics
• Path integral for a relativistic spinless Coulomb system
• Techniques and Applications of Path Integration