{"title":"Étude du système de Schrödinger–Bloch modélisant la propagation d'un laser dans un gaz","authors":"Rémi Abgrall, Thierry Colin, Boniface Nkonga","doi":"10.1016/S0764-4442(01)02105-X","DOIUrl":null,"url":null,"abstract":"<div><p>In this Note, we study a two-level Schrödinger–Bloch system: first we introduce a nondimensional form of the system in which a small parameter appears. Then we prove an existence theorem and an asymptotic result. Finally, we propose an efficient numerical scheme that is uniform with respect to the small parameter.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 7","pages":"Pages 689-692"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02105-X","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S076444420102105X","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
In this Note, we study a two-level Schrödinger–Bloch system: first we introduce a nondimensional form of the system in which a small parameter appears. Then we prove an existence theorem and an asymptotic result. Finally, we propose an efficient numerical scheme that is uniform with respect to the small parameter.