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...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2020
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| Online Access: | https://hdl.handle.net/10356/139827 |
| _version_ | 1811690575105097728 |
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| author | Li, Benliang Hewak, Daniel W. Wang, Qi Jie |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Li, Benliang Hewak, Daniel W. Wang, Qi Jie |
| author_sort | Li, Benliang |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T06:06:10Z |
| format | Journal Article |
| id | ntu-10356/139827 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:06:10Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-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 |
| 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 |
| title | 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_short | 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 |
| topic | Engineering::Electrical and electronic engineering Quantum Field Theory Electromagnetic |
| url | https://hdl.handle.net/10356/139827 |
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