帕斯夸尔-乔丹:从矩阵乘法到干涉定律

IF 0.8 4区 物理与天体物理 Q2 HISTORY & PHILOSOPHY OF SCIENCE
Domenico Costantini, Carlo Ferigato
{"title":"帕斯夸尔-乔丹:从矩阵乘法到干涉定律","authors":"Domenico Costantini,&nbsp;Carlo Ferigato","doi":"10.1140/epjh/s13129-024-00073-8","DOIUrl":null,"url":null,"abstract":"<div><p>Pascual Jordan was the first to propose the law of interference of probability amplitudes as a principle of quantum mechanics. We analyze the role of probabilistic ideas played in this proposal from a historical perspective. In particular, we point out the relation between the usual theory of probability that Jordan called elementary and quantum mechanics. Jordan was the first to stress the analogy between the law of total probability and the law of interference. In this regard, we speculate about the intellectual path Jordan might have followed in order to arrive at the interference law. We do not oppose the usual probability to quantum probability. Instead, we are convinced, as Jordan was, that the rules of quantum mechanics are the rules of a probability theory that has ceased to be elementary.\n</p></div>","PeriodicalId":791,"journal":{"name":"The European Physical Journal H","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjh/s13129-024-00073-8.pdf","citationCount":"0","resultStr":"{\"title\":\"Pascual Jordan: from matrix multiplication to interference law\",\"authors\":\"Domenico Costantini,&nbsp;Carlo Ferigato\",\"doi\":\"10.1140/epjh/s13129-024-00073-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Pascual Jordan was the first to propose the law of interference of probability amplitudes as a principle of quantum mechanics. We analyze the role of probabilistic ideas played in this proposal from a historical perspective. In particular, we point out the relation between the usual theory of probability that Jordan called elementary and quantum mechanics. Jordan was the first to stress the analogy between the law of total probability and the law of interference. In this regard, we speculate about the intellectual path Jordan might have followed in order to arrive at the interference law. We do not oppose the usual probability to quantum probability. Instead, we are convinced, as Jordan was, that the rules of quantum mechanics are the rules of a probability theory that has ceased to be elementary.\\n</p></div>\",\"PeriodicalId\":791,\"journal\":{\"name\":\"The European Physical Journal H\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1140/epjh/s13129-024-00073-8.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal H\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjh/s13129-024-00073-8\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"HISTORY & PHILOSOPHY OF SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal H","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjh/s13129-024-00073-8","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"HISTORY & PHILOSOPHY OF SCIENCE","Score":null,"Total":0}
引用次数: 0

摘要

帕斯夸尔-乔丹是第一个提出概率振幅干涉定律作为量子力学原理的人。我们从历史的角度分析了概率论思想在这一提议中所起的作用。我们特别指出了被乔丹称为基本概念的概率论与量子力学之间的关系。乔丹是第一个强调总概率定律与干涉定律之间类比关系的人。在这方面,我们推测了乔丹得出干涉定律可能遵循的思想路径。我们并不反对通常概率与量子概率。相反,我们和乔丹一样,深信量子力学的规则是概率论的规则,而概率论已经不再是基本的了。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Pascual Jordan: from matrix multiplication to interference law

Pascual Jordan was the first to propose the law of interference of probability amplitudes as a principle of quantum mechanics. We analyze the role of probabilistic ideas played in this proposal from a historical perspective. In particular, we point out the relation between the usual theory of probability that Jordan called elementary and quantum mechanics. Jordan was the first to stress the analogy between the law of total probability and the law of interference. In this regard, we speculate about the intellectual path Jordan might have followed in order to arrive at the interference law. We do not oppose the usual probability to quantum probability. Instead, we are convinced, as Jordan was, that the rules of quantum mechanics are the rules of a probability theory that has ceased to be elementary.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
The European Physical Journal H
The European Physical Journal H HISTORY & PHILOSOPHY OF SCIENCE-PHYSICS, MULTIDISCIPLINARY
CiteScore
1.60
自引率
10.00%
发文量
13
审稿时长
>12 weeks
期刊介绍: The purpose of this journal is to catalyse, foster, and disseminate an awareness and understanding of the historical development of ideas in contemporary physics, and more generally, ideas about how Nature works. The scope explicitly includes: - Contributions addressing the history of physics and of physical ideas and concepts, the interplay of physics and mathematics as well as the natural sciences, and the history and philosophy of sciences, together with discussions of experimental ideas and designs - inasmuch as they clearly relate, and preferably add, to the understanding of modern physics. - Annotated and/or contextual translations of relevant foreign-language texts. - Careful characterisations of old and/or abandoned ideas including past mistakes and false leads, thereby helping working physicists to assess how compelling contemporary ideas may turn out to be in future, i.e. with hindsight.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信