The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov-Bohm effect
arXiv:1607.03501 · doi:10.1007/s10701-018-0191-y
Abstract
In this article we demonstrate a sense in which the one-particle quantum mechanics (OPQM) and the classical electromagnetic four-potential arise from quantum field theory (QFT). In addition, the classical Maxwell equations are derived from a 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 where the interactions are mediated by virtual photons.
arXiv comment19 pages, 2 figures. Final published version
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- The Aharonov-Bohm effect in a closed flux line
- Aharonov-Bohm effect with an effective complex-valued vector potential
- Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
- Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation