{"title":"On the Minimum of the Wehrl Entropy for a Locally Compact Abelian Group","authors":"Evgeny I. Zelenov","doi":"10.1134/s0081543824010097","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> A construction of the Wehrl entropy is proposed for an arbitrary locally compact abelian group <span>\\(G\\)</span>. It is proved that the Wehrl entropy is not less than a certain nonnegative integer, which is an invariant of the group <span>\\(G\\)</span>. The minimum of the Wehrl entropy is attained on coherent states. </p>","PeriodicalId":54557,"journal":{"name":"Proceedings of the Steklov Institute of Mathematics","volume":"80 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Steklov Institute of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0081543824010097","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A construction of the Wehrl entropy is proposed for an arbitrary locally compact abelian group \(G\). It is proved that the Wehrl entropy is not less than a certain nonnegative integer, which is an invariant of the group \(G\). The minimum of the Wehrl entropy is attained on coherent states.
期刊介绍:
Proceedings of the Steklov Institute of Mathematics is a cover-to-cover translation of the Trudy Matematicheskogo Instituta imeni V.A. Steklova of the Russian Academy of Sciences. Each issue ordinarily contains either one book-length article or a collection of articles pertaining to the same topic.