The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov–Bohm effect

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 electr...

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Main Authors:	Li, Benliang, Hewak, Daniel W., Wang, Qi Jie
Other Authors:	School of Electrical and Electronic Engineering
Format:	Article
Language:	English
Published:	2020
Subjects:	Engineering::Electrical and electronic engineering Quantum Field Theory Electromagnetic
Online Access:	https://hdl.handle.net/10356/139827
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Institution:	Nanyang Technological University
Language:	English

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spelling	sg-ntu-dr.10356-1398272020-05-28T08:21:17Z The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov–Bohm effect Li, Benliang Hewak, Daniel W. Wang, Qi Jie School of Electrical and Electronic Engineering School of Physical and Mathematical Sciences Centre for OptoElectronics and Biophotonics Centre for Disruptive Photonic Technologies The Photonics Institute Engineering::Electrical and electronic engineering Quantum Field Theory Electromagnetic 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. Accepted version 2020-05-22T02:50:22Z 2020-05-22T02:50:22Z 2018 Journal Article Li, B., Hewak, D. W., & Wang, Q. J. (2018). The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov–Bohm effect. Foundations of Physics, 48(7), 837–852. doi:10.1007/s10701-018-0191-y 0015-9018 https://hdl.handle.net/10356/139827 10.1007/s10701-018-0191-y 2-s2.0-85048876376 7 48 837 852 en Foundations of Physics © 2018 Springer Science+Business Media. This is a post-peer-review, pre-copyedit version of an article published in Foundations of Physics. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10701-018-0191-y application/pdf
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	Engineering::Electrical and electronic engineering Quantum Field Theory Electromagnetic
spellingShingle	Engineering::Electrical and electronic engineering Quantum Field Theory Electromagnetic Li, Benliang Hewak, Daniel W. Wang, Qi Jie The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov–Bohm effect
description	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.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Li, Benliang Hewak, Daniel W. Wang, Qi Jie
format	Article
author	Li, Benliang Hewak, Daniel W. Wang, Qi Jie
author_sort	Li, Benliang
title	The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov–Bohm effect
title_short	The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov–Bohm effect
title_full	The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov–Bohm effect
title_fullStr	The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov–Bohm effect
title_full_unstemmed	The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov–Bohm effect
title_sort	transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of aharonov–bohm effect
publishDate	2020
url	https://hdl.handle.net/10356/139827
_version_	1681058209553448960

The transition from quantum field theory to one-particle quantum mechanics and a proposed interpretation of Aharonov–Bohm effect

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