Path Integral for Relativistic Three-Dimensional Spinless Aharonov-Bohm-Coulomb System
De-Hone Lin
TL;DR
This paper solves the path integral for a relativistic three-dimensional spinless Aharonov-Bohm-Coulomb system and derives its energy spectra, advancing understanding of quantum systems with combined electromagnetic and topological effects.
Contribution
It provides an exact solution to the path integral for this complex relativistic quantum system, which was previously unexplored.
Findings
Derived explicit energy spectra from the path integral
Established a method for analyzing similar relativistic quantum systems
Enhanced understanding of topological effects in quantum mechanics
Abstract
The path integral for relativistic three-dimensional spinless Aharonov-Bohm-Coulomb system is solved, and the energy spectra are extracted from the resulting amplitude.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum and electron transport phenomena · Quantum chaos and dynamical systems