{"title":"S-wave eigenvalues of the Lippmann-Schwinger kernel for the exponential potential","authors":"M. S. Stern, A. Warburton","doi":"10.1088/0305-4470/5/8/015","DOIUrl":null,"url":null,"abstract":"It is shown that the S-wave eigenvalues of the Lippmann-Schwinger kernel for the exponential potential can be determined from the zeros of a Bessel function whose order is energy dependent. An asymptotic expansion is obtained for the leading eigenvalue at negative energies.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"1 1","pages":"1233-1235"},"PeriodicalIF":0.0000,"publicationDate":"1972-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics-A Journal of General and Applied Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/5/8/015","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
It is shown that the S-wave eigenvalues of the Lippmann-Schwinger kernel for the exponential potential can be determined from the zeros of a Bessel function whose order is energy dependent. An asymptotic expansion is obtained for the leading eigenvalue at negative energies.
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