{"title":"Exact solutions of the Schrdinger equation for a new ring-shaped noncentral potential","authors":"Zhang Min-Cang","doi":"10.7498/aps.59.6819","DOIUrl":null,"url":null,"abstract":"A new ring-shaped noncentral potential is proposed.The exactly complete solutions of the Schrdinger equation with this model potential are presented by the Nikiforov-Uvarov(N-U)method.It is shown that the component of bound state wavefunction could be expressed by the generalized ultraspherical polynomial or the hypergeometric function,and the radial component is given in terms of the associated Laguerre polynomial.Finally,the effect of the angle-dependent part on the radial solutions and several particular cases of this potential are also dicussed.","PeriodicalId":17047,"journal":{"name":"Journal of Shaanxi Normal University","volume":"39 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2011-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Shaanxi Normal University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7498/aps.59.6819","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
A new ring-shaped noncentral potential is proposed.The exactly complete solutions of the Schrdinger equation with this model potential are presented by the Nikiforov-Uvarov(N-U)method.It is shown that the component of bound state wavefunction could be expressed by the generalized ultraspherical polynomial or the hypergeometric function,and the radial component is given in terms of the associated Laguerre polynomial.Finally,the effect of the angle-dependent part on the radial solutions and several particular cases of this potential are also dicussed.
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