{"title":"On Hadamard’s Coefficients for Two Dimensional Schrödinger Operators","authors":"Pierre Gaillard","doi":"10.1007/s10773-023-05461-2","DOIUrl":null,"url":null,"abstract":"<div><p>Following the works of Berest (2008), we compute explicitly Hadamard’s coefficients for two dimensional Schrödinger operators. For this, we use some specific generating functions and compute their relative Wronskians.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"62 9","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2023-09-09","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/s10773-023-05461-2","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}
引用次数: 0
Abstract
Following the works of Berest (2008), we compute explicitly Hadamard’s coefficients for two dimensional Schrödinger operators. For this, we use some specific generating functions and compute their relative Wronskians.
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.