{"title":"一维维拉普拉斯的复兴分析","authors":"A. Getmanenko","doi":"10.1619/FESI.54.383","DOIUrl":null,"url":null,"abstract":"The Witten Laplacian corresponding to a Morse function on the circle is studied using methods of complex WKB and resurgent analysis. It is shown that under certain assumptions the low-lying eigenvalues of the Witten Laplacian are resurgent.","PeriodicalId":55134,"journal":{"name":"Funkcialaj Ekvacioj-Serio Internacia","volume":"12 1","pages":"383-438"},"PeriodicalIF":0.7000,"publicationDate":"2011-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Resurgent Analysis of the Witten Laplacian in One Dimension\",\"authors\":\"A. Getmanenko\",\"doi\":\"10.1619/FESI.54.383\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Witten Laplacian corresponding to a Morse function on the circle is studied using methods of complex WKB and resurgent analysis. It is shown that under certain assumptions the low-lying eigenvalues of the Witten Laplacian are resurgent.\",\"PeriodicalId\":55134,\"journal\":{\"name\":\"Funkcialaj Ekvacioj-Serio Internacia\",\"volume\":\"12 1\",\"pages\":\"383-438\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2011-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Funkcialaj Ekvacioj-Serio Internacia\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1619/FESI.54.383\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Funkcialaj Ekvacioj-Serio Internacia","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1619/FESI.54.383","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Resurgent Analysis of the Witten Laplacian in One Dimension
The Witten Laplacian corresponding to a Morse function on the circle is studied using methods of complex WKB and resurgent analysis. It is shown that under certain assumptions the low-lying eigenvalues of the Witten Laplacian are resurgent.
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