{"title":"指数势的Lippmann-Schwinger核的s波特征值","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":"{\"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}","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}
S-wave eigenvalues of the Lippmann-Schwinger kernel for the exponential potential
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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