{"title":"Weyl correspondence and P-representation as operator Fredholm equations and their solutions","authors":"H. Fan, J. Klauder","doi":"10.1088/0305-4470/39/34/016","DOIUrl":null,"url":null,"abstract":"Using the technique of integration within an ordered product of operators we construct operator Fredholm equations, which can help us to re-formulize the Weyl correspondence and P-representation. We then search for their solutions which present new formulae for deriving quantum operators' Weyl classical correspondence and P-representation. As the application, we deduce some new relations about the two-variable Hermite polynomials.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of physics A: Mathematical and general","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/39/34/016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
Using the technique of integration within an ordered product of operators we construct operator Fredholm equations, which can help us to re-formulize the Weyl correspondence and P-representation. We then search for their solutions which present new formulae for deriving quantum operators' Weyl classical correspondence and P-representation. As the application, we deduce some new relations about the two-variable Hermite polynomials.