{"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}
引用次数: 0
Abstract
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.
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