{"title":"线性有界和泊松分布随机势的谱量极限","authors":"David Hasler, Jannis Koberstein","doi":"arxiv-2409.06508","DOIUrl":null,"url":null,"abstract":"We show the existence of infinite volume limits of resolvents and spectral\nmeasures for a class of Schroedinger operators with linearly bounded\npotentials. We then apply this result to Schroedinger operators with a Poisson\ndistributed random potential.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Limits of spectral measures for linearly bounded and for Poisson distributed random potentials\",\"authors\":\"David Hasler, Jannis Koberstein\",\"doi\":\"arxiv-2409.06508\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show the existence of infinite volume limits of resolvents and spectral\\nmeasures for a class of Schroedinger operators with linearly bounded\\npotentials. We then apply this result to Schroedinger operators with a Poisson\\ndistributed random potential.\",\"PeriodicalId\":501312,\"journal\":{\"name\":\"arXiv - MATH - Mathematical Physics\",\"volume\":\"3 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 - Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.06508\",\"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 - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06508","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Limits of spectral measures for linearly bounded and for Poisson distributed random potentials
We show the existence of infinite volume limits of resolvents and spectral
measures for a class of Schroedinger operators with linearly bounded
potentials. We then apply this result to Schroedinger operators with a Poisson
distributed random potential.
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