{"title":"Xˆ and Pˆx Representations: Eigenkets and Operators","authors":"B. Anderson","doi":"10.1117/3.2512268.ch23","DOIUrl":"https://doi.org/10.1117/3.2512268.ch23","url":null,"abstract":"","PeriodicalId":276724,"journal":{"name":"Field Guide to Quantum Mechanics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116801443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Infinite Square Well","authors":"B. Anderson","doi":"10.1117/3.2512268.ch49","DOIUrl":"https://doi.org/10.1117/3.2512268.ch49","url":null,"abstract":"Link to: physicspages home page. To leave a comment or report an error, please use the auxiliary blog and include the title or URL of this post in your comment. Post date: 9 Jan 2021. To get the feel of how to solve the time-independent Schrödinger equation in one dimension, the most commonly used example is that of the infinite square well, sometimes known as the ’particle in a box’ problem. First, recall the Schrödinger equation itself:","PeriodicalId":276724,"journal":{"name":"Field Guide to Quantum Mechanics","volume":"283 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127481024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Expectation Values","authors":"B. Anderson","doi":"10.1117/3.2512268.ch27","DOIUrl":"https://doi.org/10.1117/3.2512268.ch27","url":null,"abstract":"Expectation Values Consider an ensemble of microscopic systems prepared in the same initial state (mid A rangle). Suppose a measurement of the observable (xi') is made on each system. We know that each measurement yields the value (xi') with probability (P(xi')). What is the mean value of the measurement? This quantity, which is generally referred to as the expectation value of (xi'), is given by ((58);;;;; langlexirangle = displaystyle sum^{}_{xi'} xi'P(xi') = displaystyle sum^{}_{xi'} xi' midlangle Amid xiranglemid^{2}) ( = displaystyle sum^{}_{xi'} xi' langle Amidxiranglelangle xi'mid Arangle = displaystyle sum^{}_{xi'} xi' langle Amidximidxi'ranglelangle xi'mid Arangle)","PeriodicalId":276724,"journal":{"name":"Field Guide to Quantum Mechanics","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124888830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Exactly Solvable Problems in One Dimension","authors":"B. Anderson","doi":"10.1117/3.2512268.ch47","DOIUrl":"https://doi.org/10.1117/3.2512268.ch47","url":null,"abstract":"","PeriodicalId":276724,"journal":{"name":"Field Guide to Quantum Mechanics","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134145560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Superpositions, Relative and Global Phases","authors":"B. Anderson","doi":"10.1117/3.2512268.ch36","DOIUrl":"https://doi.org/10.1117/3.2512268.ch36","url":null,"abstract":"","PeriodicalId":276724,"journal":{"name":"Field Guide to Quantum Mechanics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125634573","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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