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- Title
The Transition from Quantum Field Theory to One-Particle Quantum Mechanics and a Proposed Interpretation of Aharonov-Bohm Effect.
- Authors
Li, Benliang; Hewak, Daniel W.; Wang, Qi Jie
- Abstract
In this article, we demonstrate a sense in which the one-particle quantum mechanics (OPQM) and the classical electromagnetic four-potential arise from the quantum field theory (QFT). In addition, the classical Maxwell equations are derived from the QFT scattering process, while both classical electromagnetic fields and potentials serve as mathematical tools to approximate the interactions among elementary particles described by QFT physics. Furthermore, a plausible interpretation of the Aharonov-Bohm (AB) effect is raised within the QFT framework. We provide a quantum treatment of the source of electromagnetic potentials and argue that the underlying mechanism in the AB effect can be understood via interactions among electrons described by QFT theory where the interactions are mediated by virtual photons.
- Subjects
QUANTUM field theory; MAXWELL equations; QUANTUM mechanics; AHARONOV-Bohm effect; QUANTUM theory; ELECTRONS; PHOTONS
- Publication
Foundations of Physics, 2018, Vol 48, Issue 7, p837
- ISSN
0015-9018
- Publication type
Article
- DOI
10.1007/s10701-018-0191-y