{"title":"未决问题：具有复势的薛定谔算子的违反局域性问题","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":"{\"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}","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}
Open problem: Violation of locality for Schrödinger operators with complex potentials
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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