{"title":"Magnetic Dirac operator in strips submitted to strong magnetic fields","authors":"Loïc Le Treust, Julien Royer, Nicolas Raymond","doi":"arxiv-2409.06284","DOIUrl":null,"url":null,"abstract":"We consider the magnetic Dirac operator on a curved strip whose boundary\ncarries the infinite mass boundary condition. When the magnetic field is large,\nwe provide the reader with accurate estimates of the essential and discrete\nspectra. In particular, we give sufficient conditions ensuring that the\ndiscrete spectrum is non-empty.","PeriodicalId":501373,"journal":{"name":"arXiv - MATH - Spectral Theory","volume":"39 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Spectral Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06284","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
We consider the magnetic Dirac operator on a curved strip whose boundary
carries the infinite mass boundary condition. When the magnetic field is large,
we provide the reader with accurate estimates of the essential and discrete
spectra. In particular, we give sufficient conditions ensuring that the
discrete spectrum is non-empty.
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