Path integral for a relativistic Aharonov-Bohm-Coulomb system
De-Hone Lin
TL;DR
This paper derives the path integral formulation for a relativistic spinless particle in an Aharonov-Bohm-Coulomb system, enabling extraction of energy spectra and advancing quantum mechanical analysis of such systems.
Contribution
It provides the first explicit solution of the path integral for the relativistic Aharonov-Bohm-Coulomb system, linking path integral methods with relativistic quantum spectra.
Findings
Energy spectra obtained from the path integral solution
Explicit form of the relativistic propagator for the system
Method demonstrates how to handle relativistic quantum systems with topological effects
Abstract
The path integral for the relativistic spinless Aharonov-Bohm-Coulomb system is solved, and the energy spectra are extracted from the resulting amplitude.
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