{"title":"Open problem: Violation of locality for Schrödinger operators with complex potentials","authors":"Jean-Claude Cuenin, Rupert L. Frank","doi":"arxiv-2409.11285","DOIUrl":null,"url":null,"abstract":"We explain in which sense Schr\\\"odinger operators with complex potentials\nappear to violate locality (or Weyl's asymptotics), and we pose three open\nproblems related to this phenomenon.","PeriodicalId":501373,"journal":{"name":"arXiv - MATH - Spectral Theory","volume":"9 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","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-2409.11285","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 explain in which sense Schr\"odinger operators with complex potentials
appear to violate locality (or Weyl's asymptotics), and we pose three open
problems related to this phenomenon.
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