{"title":"量化是一种分类等价","authors":"Benjamin H. Feintzeig","doi":"10.1007/s11005-023-01765-w","DOIUrl":null,"url":null,"abstract":"<p>We demonstrate that, in certain cases, quantization and the classical limit provide functors that are “almost inverse” to each other. These functors map between categories of algebraic structures for classical and quantum physics, establishing a categorical equivalence.\n</p>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quantization as a categorical equivalence\",\"authors\":\"Benjamin H. Feintzeig\",\"doi\":\"10.1007/s11005-023-01765-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We demonstrate that, in certain cases, quantization and the classical limit provide functors that are “almost inverse” to each other. These functors map between categories of algebraic structures for classical and quantum physics, establishing a categorical equivalence.\\n</p>\",\"PeriodicalId\":685,\"journal\":{\"name\":\"Letters in Mathematical Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-01-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1007/s11005-023-01765-w\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s11005-023-01765-w","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
We demonstrate that, in certain cases, quantization and the classical limit provide functors that are “almost inverse” to each other. These functors map between categories of algebraic structures for classical and quantum physics, establishing a categorical equivalence.
期刊介绍:
The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.