{"title":"Wigner versus Stark: Connecting quantum to classical in a tunnel ionization process","authors":"S. Yusofsani, Miroslav Kolesik","doi":"10.1119/5.0077113","DOIUrl":null,"url":null,"abstract":"We present a framework designed to illustrate the dynamics of a quantum particle tunneling from a bound state into a continuum of states under the influence of an external field. We concentrate on the question of what is the best classical-level description of the escaping particle. A toy model is constructed and investigated through complementary numerical, analytical, and approximate solutions. Issues related to the location of the apparent exit from the “quantum tunnel” are addressed in the language of Wigner trajectories and discussed in relation to the other types of solutions.","PeriodicalId":7589,"journal":{"name":"American Journal of Physics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1119/5.0077113","RegionNum":4,"RegionCategory":"教育学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"EDUCATION, SCIENTIFIC DISCIPLINES","Score":null,"Total":0}
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Abstract
We present a framework designed to illustrate the dynamics of a quantum particle tunneling from a bound state into a continuum of states under the influence of an external field. We concentrate on the question of what is the best classical-level description of the escaping particle. A toy model is constructed and investigated through complementary numerical, analytical, and approximate solutions. Issues related to the location of the apparent exit from the “quantum tunnel” are addressed in the language of Wigner trajectories and discussed in relation to the other types of solutions.
期刊介绍：
The mission of the American Journal of Physics (AJP) is to publish articles on the educational and cultural aspects of physics that are useful, interesting, and accessible to a diverse audience of physics students, educators, and researchers. Our audience generally reads outside their specialties to broaden their understanding of physics and to expand and enhance their pedagogical toolkits at the undergraduate and graduate levels.
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