{"title":"Comparisons of Matrices with Different Elements but Identical Eigenvalues","authors":"Daren Sitchepping Fosso, L. Zamick, C. Fan","doi":"10.1142/S0218301323500192","DOIUrl":null,"url":null,"abstract":"We show 2 matrices that have identical eigenvalues but different eigenfunctions. This shows that in obtaining two body nuclear matrix elements empirically, it is not sufficient to consider only energy levels. Other quantities like transitions must also be included.","PeriodicalId":50306,"journal":{"name":"International Journal of Modern Physics E","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Modern Physics E","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/S0218301323500192","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
Abstract
We show 2 matrices that have identical eigenvalues but different eigenfunctions. This shows that in obtaining two body nuclear matrix elements empirically, it is not sufficient to consider only energy levels. Other quantities like transitions must also be included.
期刊介绍:
This journal covers the topics on experimental and theoretical nuclear physics, and its applications and interface with astrophysics and particle physics. The journal publishes research articles as well as review articles on topics of current interest.