{"title":"An alternative proof of some relations between hydrogenic matrix elements","authors":"R. A. Swainson, G. Drake","doi":"10.1088/0953-4075/23/7/005","DOIUrl":null,"url":null,"abstract":"A relationship between certain integrals of the product of two Laguerre polynomials is obtained. It is shown how this relationship, together with two known Hankel transforms, allows for an alternative derivation of some relations between matrix elements of rk for hydrogenic ions. A further relation, involving matrix elements of logarithmic functions, is obtained in a similar manner.","PeriodicalId":16799,"journal":{"name":"Journal of Physics B","volume":"26 1","pages":"1079-1084"},"PeriodicalIF":0.0000,"publicationDate":"1990-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Physics B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0953-4075/23/7/005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 14
Abstract
A relationship between certain integrals of the product of two Laguerre polynomials is obtained. It is shown how this relationship, together with two known Hankel transforms, allows for an alternative derivation of some relations between matrix elements of rk for hydrogenic ions. A further relation, involving matrix elements of logarithmic functions, is obtained in a similar manner.
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