{"title":"密度矩阵的量子谐波分析","authors":"Maurice A. de Gosson","doi":"10.12743/quanta.v7i1.74","DOIUrl":null,"url":null,"abstract":"We will study rigorously the notion of mixed states and their density matrices. We will also discuss the quantum-mechanical consequences of possible variations of Planck's constant h. This review has been written having in mind two readerships: mathematical physicists and quantum physicists. The mathematical rigor is maximal, but the language and notation we use throughout should be familiar to physicists.Quanta 2018; 7: 74–110.","PeriodicalId":37613,"journal":{"name":"Quanta","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"29","resultStr":"{\"title\":\"Quantum Harmonic Analysis of the Density Matrix\",\"authors\":\"Maurice A. de Gosson\",\"doi\":\"10.12743/quanta.v7i1.74\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We will study rigorously the notion of mixed states and their density matrices. We will also discuss the quantum-mechanical consequences of possible variations of Planck's constant h. This review has been written having in mind two readerships: mathematical physicists and quantum physicists. The mathematical rigor is maximal, but the language and notation we use throughout should be familiar to physicists.Quanta 2018; 7: 74–110.\",\"PeriodicalId\":37613,\"journal\":{\"name\":\"Quanta\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-09-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"29\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quanta\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12743/quanta.v7i1.74\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quanta","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12743/quanta.v7i1.74","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
We will study rigorously the notion of mixed states and their density matrices. We will also discuss the quantum-mechanical consequences of possible variations of Planck's constant h. This review has been written having in mind two readerships: mathematical physicists and quantum physicists. The mathematical rigor is maximal, but the language and notation we use throughout should be familiar to physicists.Quanta 2018; 7: 74–110.
QuantaArts and Humanities-History and Philosophy of Science
CiteScore
1.30
自引率
0.00%
发文量
5
审稿时长
12 weeks
期刊介绍:
Quanta is an open access academic journal publishing original research and review articles on foundations of quantum mechanics, mathematical physics and philosophy of science.