{"title":"非对称量子拉比模型大特征值的行为","authors":"Mirna Charif, Ahmad Fino, Lech Zielinski","doi":"10.3233/asy-231875","DOIUrl":null,"url":null,"abstract":"We prove that the spectrum of the asymmetric quantum Rabi model consists of two eigenvalue sequences (Em+)m=0∞, (Em−)m=0∞, satisfying a two-term asymptotic formula with error estimate of the form O(m−1/4), when m tends to infinity.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Behaviour of large eigenvalues for the asymmetric quantum Rabi model\",\"authors\":\"Mirna Charif, Ahmad Fino, Lech Zielinski\",\"doi\":\"10.3233/asy-231875\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove that the spectrum of the asymmetric quantum Rabi model consists of two eigenvalue sequences (Em+)m=0∞, (Em−)m=0∞, satisfying a two-term asymptotic formula with error estimate of the form O(m−1/4), when m tends to infinity.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-11-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3233/asy-231875\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3233/asy-231875","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
我们证明,当 m 趋于无穷大时,非对称量子拉比模型的频谱由两个特征值序列 (Em+)m=0∞, (Em-)m=0∞ 组成,满足两期渐近公式,误差估计为 O(m-1/4)。
Behaviour of large eigenvalues for the asymmetric quantum Rabi model
We prove that the spectrum of the asymmetric quantum Rabi model consists of two eigenvalue sequences (Em+)m=0∞, (Em−)m=0∞, satisfying a two-term asymptotic formula with error estimate of the form O(m−1/4), when m tends to infinity.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.