{"title":"多连通空间中的路径积分与Aharonov-Bohm干涉","authors":"J.Q. Liang","doi":"10.1016/0378-4363(88)90173-8","DOIUrl":null,"url":null,"abstract":"<div><p>A topological phase factor arising from the homotopy theory of path integrals in multiply connected spaces is equivalent to the non-integrable phase of the Dirac wave function of a charge particle in the presence of an inaccessible, time-independent magnetic flux. The Aharonov-Bohm interference is analysed with the topological phase.</p></div>","PeriodicalId":101023,"journal":{"name":"Physica B+C","volume":"151 1","pages":"Pages 239-244"},"PeriodicalIF":0.0000,"publicationDate":"1988-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0378-4363(88)90173-8","citationCount":"6","resultStr":"{\"title\":\"Path integrals in multiply connected spaces and the Aharonov-Bohm interference\",\"authors\":\"J.Q. Liang\",\"doi\":\"10.1016/0378-4363(88)90173-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A topological phase factor arising from the homotopy theory of path integrals in multiply connected spaces is equivalent to the non-integrable phase of the Dirac wave function of a charge particle in the presence of an inaccessible, time-independent magnetic flux. The Aharonov-Bohm interference is analysed with the topological phase.</p></div>\",\"PeriodicalId\":101023,\"journal\":{\"name\":\"Physica B+C\",\"volume\":\"151 1\",\"pages\":\"Pages 239-244\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0378-4363(88)90173-8\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physica B+C\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0378436388901738\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica B+C","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0378436388901738","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Path integrals in multiply connected spaces and the Aharonov-Bohm interference
A topological phase factor arising from the homotopy theory of path integrals in multiply connected spaces is equivalent to the non-integrable phase of the Dirac wave function of a charge particle in the presence of an inaccessible, time-independent magnetic flux. The Aharonov-Bohm interference is analysed with the topological phase.
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