{"title":"费米子动力学卡西米尔效应:马格努斯膨胀","authors":"C.D. Fosco, G. Hansen","doi":"10.1016/j.aop.2024.169841","DOIUrl":null,"url":null,"abstract":"<div><div>We study pair creation out of the vacuum, for a system consisting of a massive Dirac field in <span><math><mrow><mn>1</mn><mo>+</mo><mn>1</mn></mrow></math></span> dimensions, contained between a pair of perfectly reflecting boundaries, one of them oscillating. After analyzing some general properties of the vacuum-decay process, we evaluate the corresponding transition amplitude in a Magnus expansion of the <span><math><mi>S</mi></math></span>-matrix. We show how this yields, besides the single-pair creation amplitude, multipair ones, as well as corrections to the single pair amplitude.</div><div>We also apply it to obtain an approximate, yet explicitly unitary expression for the Bogoliubov transformation between the <em>in</em> and <em>out</em> Fock spaces.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"471 ","pages":"Article 169841"},"PeriodicalIF":3.0000,"publicationDate":"2024-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fermionic dynamical Casimir effect: Magnus expansion\",\"authors\":\"C.D. Fosco, G. Hansen\",\"doi\":\"10.1016/j.aop.2024.169841\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We study pair creation out of the vacuum, for a system consisting of a massive Dirac field in <span><math><mrow><mn>1</mn><mo>+</mo><mn>1</mn></mrow></math></span> dimensions, contained between a pair of perfectly reflecting boundaries, one of them oscillating. After analyzing some general properties of the vacuum-decay process, we evaluate the corresponding transition amplitude in a Magnus expansion of the <span><math><mi>S</mi></math></span>-matrix. We show how this yields, besides the single-pair creation amplitude, multipair ones, as well as corrections to the single pair amplitude.</div><div>We also apply it to obtain an approximate, yet explicitly unitary expression for the Bogoliubov transformation between the <em>in</em> and <em>out</em> Fock spaces.</div></div>\",\"PeriodicalId\":8249,\"journal\":{\"name\":\"Annals of Physics\",\"volume\":\"471 \",\"pages\":\"Article 169841\"},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2024-11-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0003491624002483\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491624002483","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
我们研究了一个由 1+1 维的大质量狄拉克场组成的系统,该系统包含在一对完美反射边界之间,其中一个边界在振荡。在分析了真空衰变过程的一些一般性质之后,我们评估了 S 矩阵的马格努斯展开中相应的过渡振幅。我们还利用它得到了进出福克空间之间博格柳波夫变换的近似但明确的单位表达式。
Fermionic dynamical Casimir effect: Magnus expansion
We study pair creation out of the vacuum, for a system consisting of a massive Dirac field in dimensions, contained between a pair of perfectly reflecting boundaries, one of them oscillating. After analyzing some general properties of the vacuum-decay process, we evaluate the corresponding transition amplitude in a Magnus expansion of the -matrix. We show how this yields, besides the single-pair creation amplitude, multipair ones, as well as corrections to the single pair amplitude.
We also apply it to obtain an approximate, yet explicitly unitary expression for the Bogoliubov transformation between the in and out Fock spaces.
期刊介绍:
Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance.
The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.