{"title":"具有约束静电和洛伦兹标量δ壳势的狄拉克算子的近似。","authors":"Christian Stelzer-Landauer","doi":"10.1007/s11785-025-01742-2","DOIUrl":null,"url":null,"abstract":"<p><p>In this paper we continue earlier investigations regarding the approximation of Dirac operators with <math><mi>δ</mi></math> -shell potentials in the norm resolvent sense. In particular, we consider the approximation of Dirac operators with confining electrostatic and Lorentz scalar <math><mi>δ</mi></math> -shell potentials, where the support of the <math><mi>δ</mi></math> -shell potentials is impermeable to particles modelled by such Dirac operators.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"19 6","pages":"139"},"PeriodicalIF":0.8000,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12287183/pdf/","citationCount":"0","resultStr":"{\"title\":\"<ArticleTitle xmlns:ns0=\\\"http://www.w3.org/1998/Math/MathML\\\">Approximation of Dirac Operators with Confining Electrostatic and Lorentz Scalar <ns0:math><ns0:mrow><ns0:mi>δ</ns0:mi></ns0:mrow> </ns0:math> -Shell Potentials.\",\"authors\":\"Christian Stelzer-Landauer\",\"doi\":\"10.1007/s11785-025-01742-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>In this paper we continue earlier investigations regarding the approximation of Dirac operators with <math><mi>δ</mi></math> -shell potentials in the norm resolvent sense. In particular, we consider the approximation of Dirac operators with confining electrostatic and Lorentz scalar <math><mi>δ</mi></math> -shell potentials, where the support of the <math><mi>δ</mi></math> -shell potentials is impermeable to particles modelled by such Dirac operators.</p>\",\"PeriodicalId\":50654,\"journal\":{\"name\":\"Complex Analysis and Operator Theory\",\"volume\":\"19 6\",\"pages\":\"139\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12287183/pdf/\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Analysis and Operator Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11785-025-01742-2\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2025/7/23 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Analysis and Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-025-01742-2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/7/23 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Approximation of Dirac Operators with Confining Electrostatic and Lorentz Scalar δ -Shell Potentials.
In this paper we continue earlier investigations regarding the approximation of Dirac operators with -shell potentials in the norm resolvent sense. In particular, we consider the approximation of Dirac operators with confining electrostatic and Lorentz scalar -shell potentials, where the support of the -shell potentials is impermeable to particles modelled by such Dirac operators.
期刊介绍:
Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.