Study of He–Mckellar–Wilkens Effect in Noncommutative Space

The He–McKellar–Wilkens (HMW) effect in noncommutative space has been explored through two distinct methodologies. One approach treats the neutral particle, which harbors a permanent electric dipole moment, as an unstructured entity, while the other approach considers the neutral particle as a compo...

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Main Authors: Jian Jing, Qing Wang, Zi-Gang Yuan, Shi-Hai Dong
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/9/12/494
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author Jian Jing
Qing Wang
Zi-Gang Yuan
Shi-Hai Dong
author_facet Jian Jing
Qing Wang
Zi-Gang Yuan
Shi-Hai Dong
author_sort Jian Jing
collection DOAJ
description The He–McKellar–Wilkens (HMW) effect in noncommutative space has been explored through two distinct methodologies. One approach treats the neutral particle, which harbors a permanent electric dipole moment, as an unstructured entity, while the other approach considers the neutral particle as a composite system consisting of a pair of oppositely charged particles. To preserve gauge symmetry, we apply the Seiberg–Witten map. Surprisingly, both of these approaches converge on the same result. They independently confirm that, up to the first order of the noncommutative parameter (NCP), no corrections are observed in the phase of the HMW effect. Remarkably, these two approaches, although founded on fundamentally different mechanisms, yield identical conclusions.
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spelling doaj.art-529d2473298241a8ba8c354a18b2e90d2023-12-22T14:46:32ZengMDPI AGUniverse2218-19972023-11-0191249410.3390/universe9120494Study of He–Mckellar–Wilkens Effect in Noncommutative SpaceJian Jing0Qing Wang1Zi-Gang Yuan2Shi-Hai Dong3College of Mathematics and Physics, Beijing University of Chemical Technology, Beijing 100029, ChinaCollege of Physics and Technology, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and Physics, Beijing University of Chemical Technology, Beijing 100029, ChinaResearch Center for Quantum Physics, Huzhou University, Huzhou 310003, ChinaThe He–McKellar–Wilkens (HMW) effect in noncommutative space has been explored through two distinct methodologies. One approach treats the neutral particle, which harbors a permanent electric dipole moment, as an unstructured entity, while the other approach considers the neutral particle as a composite system consisting of a pair of oppositely charged particles. To preserve gauge symmetry, we apply the Seiberg–Witten map. Surprisingly, both of these approaches converge on the same result. They independently confirm that, up to the first order of the noncommutative parameter (NCP), no corrections are observed in the phase of the HMW effect. Remarkably, these two approaches, although founded on fundamentally different mechanisms, yield identical conclusions.https://www.mdpi.com/2218-1997/9/12/494He–McKellar–Wilkens effectnoncommutative spaceelectric dipole moment
spellingShingle Jian Jing
Qing Wang
Zi-Gang Yuan
Shi-Hai Dong
Study of He–Mckellar–Wilkens Effect in Noncommutative Space
Universe
He–McKellar–Wilkens effect
noncommutative space
electric dipole moment
title Study of He–Mckellar–Wilkens Effect in Noncommutative Space
title_full Study of He–Mckellar–Wilkens Effect in Noncommutative Space
title_fullStr Study of He–Mckellar–Wilkens Effect in Noncommutative Space
title_full_unstemmed Study of He–Mckellar–Wilkens Effect in Noncommutative Space
title_short Study of He–Mckellar–Wilkens Effect in Noncommutative Space
title_sort study of he mckellar wilkens effect in noncommutative space
topic He–McKellar–Wilkens effect
noncommutative space
electric dipole moment
url https://www.mdpi.com/2218-1997/9/12/494
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AT qingwang studyofhemckellarwilkenseffectinnoncommutativespace
AT zigangyuan studyofhemckellarwilkenseffectinnoncommutativespace
AT shihaidong studyofhemckellarwilkenseffectinnoncommutativespace