{"title":"具有粗糙势和一般参数值的薛定谔演化的波包分解","authors":"Sergey A. Denisov","doi":"arxiv-2408.03470","DOIUrl":null,"url":null,"abstract":"We develop the wave packet decomposition to study the Schrodinger evolution\nwith rough potential. As an application, we obtain the improved bound on the\nwave propagation for the generic value of a parameter.","PeriodicalId":501373,"journal":{"name":"arXiv - MATH - Spectral Theory","volume":"18 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Wave packet decomposition for Schrodinger evolution with rough potential and generic value of parameter\",\"authors\":\"Sergey A. Denisov\",\"doi\":\"arxiv-2408.03470\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We develop the wave packet decomposition to study the Schrodinger evolution\\nwith rough potential. As an application, we obtain the improved bound on the\\nwave propagation for the generic value of a parameter.\",\"PeriodicalId\":501373,\"journal\":{\"name\":\"arXiv - MATH - Spectral Theory\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-06\",\"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-2408.03470\",\"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-2408.03470","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Wave packet decomposition for Schrodinger evolution with rough potential and generic value of parameter
We develop the wave packet decomposition to study the Schrodinger evolution
with rough potential. As an application, we obtain the improved bound on the
wave propagation for the generic value of a parameter.
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