{"title":"黑体辐射的真空表示","authors":"Stephen M. Barnett","doi":"10.1140/epjs/s11734-023-00987-2","DOIUrl":null,"url":null,"abstract":"Abstract We present and discuss two exact, but perhaps unfamiliar, representations of thermal radiation. The first has the form of a superposition of the quantum vacuum and a stochastic classical field and the second is the pure-state thermofield representation introduced by Takahashi and Umezawa. It is interesting that the former is, essentially, the opposite of Planck’s original conception of blackbody radiation.","PeriodicalId":12221,"journal":{"name":"European Physical Journal-special Topics","volume":"2013 1","pages":"0"},"PeriodicalIF":2.6000,"publicationDate":"2023-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Vacuum representations of blackbody radiation\",\"authors\":\"Stephen M. Barnett\",\"doi\":\"10.1140/epjs/s11734-023-00987-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We present and discuss two exact, but perhaps unfamiliar, representations of thermal radiation. The first has the form of a superposition of the quantum vacuum and a stochastic classical field and the second is the pure-state thermofield representation introduced by Takahashi and Umezawa. It is interesting that the former is, essentially, the opposite of Planck’s original conception of blackbody radiation.\",\"PeriodicalId\":12221,\"journal\":{\"name\":\"European Physical Journal-special Topics\",\"volume\":\"2013 1\",\"pages\":\"0\"},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2023-09-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Physical Journal-special Topics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1140/epjs/s11734-023-00987-2\",\"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":"European Physical Journal-special Topics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1140/epjs/s11734-023-00987-2","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}
Abstract We present and discuss two exact, but perhaps unfamiliar, representations of thermal radiation. The first has the form of a superposition of the quantum vacuum and a stochastic classical field and the second is the pure-state thermofield representation introduced by Takahashi and Umezawa. It is interesting that the former is, essentially, the opposite of Planck’s original conception of blackbody radiation.
期刊介绍:
EPJ - Special Topics (EPJ ST) publishes topical issues which are collections of review-type articles or extensive, detailed progress reports. Each issue is focused on a specific subject matter of topical interest.
The journal scope covers the whole spectrum of pure and applied physics, including related subjects such as Materials Science, Physical Biology, Physical Chemistry, and Complex Systems with particular emphasis on interdisciplinary topics in physics and related fields.