Aharonov-Bohm相的洛伦兹不变性和量规不变性

IF 2.9 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY The European Physical Journal Plus Pub Date : 2025-02-18 DOI:10.1140/epjp/s13360-025-06083-9

A. L. Kholmetskii, O. V. Missevitch, T. Yarman

{"title":"Aharonov-Bohm相的洛伦兹不变性和量规不变性","authors":"A. L. Kholmetskii, O. V. Missevitch, T. Yarman","doi":"10.1140/epjp/s13360-025-06083-9","DOIUrl":null,"url":null,"abstract":"<div><p>We analyze general expressions for the quantum phases of dipoles and pointlike charges in an electromagnetic field, applying the strong relativistic limit and using the principle of superposition of quantum phases first proposed in Kholmetskii and Yarman (EPL 120: 40007, 2017). This way we derive a new expression for the AB phase of electrically charged particles, which is both gauge-invariant and Lorentz-invariant, and discuss its implications.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 2","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lorentz-invariance and gauge-invariance of the Aharonov–Bohm phase\",\"authors\":\"A. L. Kholmetskii, O. V. Missevitch, T. Yarman\",\"doi\":\"10.1140/epjp/s13360-025-06083-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We analyze general expressions for the quantum phases of dipoles and pointlike charges in an electromagnetic field, applying the strong relativistic limit and using the principle of superposition of quantum phases first proposed in Kholmetskii and Yarman (EPL 120: 40007, 2017). This way we derive a new expression for the AB phase of electrically charged particles, which is both gauge-invariant and Lorentz-invariant, and discuss its implications.</p></div>\",\"PeriodicalId\":792,\"journal\":{\"name\":\"The European Physical Journal Plus\",\"volume\":\"140 2\",\"pages\":\"\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2025-02-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Plus\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjp/s13360-025-06083-9\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06083-9","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

我们应用强相对论极限，利用Kholmetskii和Yarman （EPL 120: 40007, 2017）首次提出的量子相叠加原理，分析了电磁场中偶极子和点状电荷的量子相的一般表达式。通过这种方法，我们得到了带电粒子AB相的一个新的表达式，它既是量规不变的，又是洛伦兹不变的，并讨论了它的意义。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Lorentz-invariance and gauge-invariance of the Aharonov–Bohm phase

We analyze general expressions for the quantum phases of dipoles and pointlike charges in an electromagnetic field, applying the strong relativistic limit and using the principle of superposition of quantum phases first proposed in Kholmetskii and Yarman (EPL 120: 40007, 2017). This way we derive a new expression for the AB phase of electrically charged particles, which is both gauge-invariant and Lorentz-invariant, and discuss its implications.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-

CiteScore

5.40

自引率

8.80%

发文量

1150

审稿时长

4-8 weeks

期刊介绍： The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.