{"title":"非交换空间中的Spavieri效应","authors":"Liu-Biao Ma, Qing Wang, Ling-Bao Kong, Jian Jing","doi":"10.1007/s10773-023-05435-4","DOIUrl":null,"url":null,"abstract":"<div><p>Spavieri effect in noncommutative space is studied by applying two different methods. One is the Bopp shift and the other is the Seiberg-Witten map. We show that up to the first order of the noncommutative parameter, both methods lead to the same conclusion that the spatial noncommutativity will not lead to corrections to Spavieri effect although the mechanisms of these two methods are very different. Our studies also indicate that the equivalence between Spavieri and Aharonov-Bohm effects is still held in noncommutative space.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 8","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2023-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spavieri Effect in Noncommutative Space\",\"authors\":\"Liu-Biao Ma, Qing Wang, Ling-Bao Kong, Jian Jing\",\"doi\":\"10.1007/s10773-023-05435-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Spavieri effect in noncommutative space is studied by applying two different methods. One is the Bopp shift and the other is the Seiberg-Witten map. We show that up to the first order of the noncommutative parameter, both methods lead to the same conclusion that the spatial noncommutativity will not lead to corrections to Spavieri effect although the mechanisms of these two methods are very different. Our studies also indicate that the equivalence between Spavieri and Aharonov-Bohm effects is still held in noncommutative space.</p></div>\",\"PeriodicalId\":597,\"journal\":{\"name\":\"International Journal of Theoretical Physics\",\"volume\":\"62 8\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2023-08-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Theoretical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10773-023-05435-4\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-023-05435-4","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Spavieri effect in noncommutative space is studied by applying two different methods. One is the Bopp shift and the other is the Seiberg-Witten map. We show that up to the first order of the noncommutative parameter, both methods lead to the same conclusion that the spatial noncommutativity will not lead to corrections to Spavieri effect although the mechanisms of these two methods are very different. Our studies also indicate that the equivalence between Spavieri and Aharonov-Bohm effects is still held in noncommutative space.
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.