Fernando Chamizo, Dulcinea Raboso, Osvaldo P. Santillán
{"title":"Plateaux of probability for the expanded quantum infinite well","authors":"Fernando Chamizo, Dulcinea Raboso, Osvaldo P. Santillán","doi":"arxiv-2409.06058","DOIUrl":null,"url":null,"abstract":"If the standard 1D quantum infinite potential well initially in its ground\nstate suffers a sudden expansion, it turns out that in the evolution of the\nsystem they may appear plateaux of probability for some fractional times, as\nnoticed by C. Aslangul in 2008. We introduce a mathematical framework to\nexplain this phenomenon. Remarkably, the characterization of these plateaux\ndepends on nontrivial number theoretical considerations.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"408 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.06058","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
If the standard 1D quantum infinite potential well initially in its ground
state suffers a sudden expansion, it turns out that in the evolution of the
system they may appear plateaux of probability for some fractional times, as
noticed by C. Aslangul in 2008. We introduce a mathematical framework to
explain this phenomenon. Remarkably, the characterization of these plateaux
depends on nontrivial number theoretical considerations.
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