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The Conceptual Foundations of Quantum Mechanics最新文献

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Quantum Phenomena 量子现象
The Conceptual Foundations of Quantum Mechanics Pub Date : 2019-12-26 DOI: 10.1093/oso/9780198844686.003.0002
Jeffrey A. Barrett
{"title":"Quantum Phenomena","authors":"Jeffrey A. Barrett","doi":"10.1093/oso/9780198844686.003.0002","DOIUrl":"https://doi.org/10.1093/oso/9780198844686.003.0002","url":null,"abstract":"The behavior of electrons provides several concrete examples of quantum phenomena. We consider electron spin properties, how electrons move, quantum randomness and the relationships between observables, quantum limits on empirical prediction, superpositions, interference effects, nonlocality, and the role of observation in generating quantum phenomena. Each illustrates the counterintuitive nature of quantum phenomena and provides a sense of the sort of phenomena that any satisfactory formulation of quantum mechanics must predict and explain.","PeriodicalId":139700,"journal":{"name":"The Conceptual Foundations of Quantum Mechanics","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124191634","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}
引用次数: 3
The Quantum Measurement Problem 量子测量问题
The Conceptual Foundations of Quantum Mechanics Pub Date : 2019-12-26 DOI: 10.4324/9780415249126-q086-1
J. Barrett
{"title":"The Quantum Measurement Problem","authors":"J. Barrett","doi":"10.4324/9780415249126-q086-1","DOIUrl":"https://doi.org/10.4324/9780415249126-q086-1","url":null,"abstract":"We use the Wigner’s friend story to characterize the quantum measurement problem. On the standard formulation of quantum mechanics, whether a physical system is measured determines which of the theory's two dynamical laws obtains. For this reason, the logical consistency of the theory depends on one specifying strictly disjoint conditions for when when each law obtains, which means that one needs to say precisely what constitutes a measurement. But since the term measurement occurs in the standard theory as an undefined primitive term, the theory is at best incomplete. We see precisely how this conceptual incompleteness threatens the logical inconsistency of the theory and why, on even the most charitable reading, it entails that the theory is empirical incomplete. We end by considering why its empirically incompleteness is extremely difficult to test.","PeriodicalId":139700,"journal":{"name":"The Conceptual Foundations of Quantum Mechanics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128052000","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}
引用次数: 0
The Mathematics of Quantum Mechanics 量子力学的数学
The Conceptual Foundations of Quantum Mechanics Pub Date : 2019-12-26 DOI: 10.1093/oso/9780198844686.003.0003
J. Barrett
{"title":"The Mathematics of Quantum Mechanics","authors":"J. Barrett","doi":"10.1093/oso/9780198844686.003.0003","DOIUrl":"https://doi.org/10.1093/oso/9780198844686.003.0003","url":null,"abstract":"Quantum mechanics is written in the language of linear algebra. On the Schrodinger picture the theory represents quantum-mechanical states using the elements of a Hilbert space and represents observable physical properties and the standard dynamics using the linear operators on the state space. We consider the mathematical notions for understanding and working with the standard formulation of quantum mechanics. Each mathematical notion is characterized geometrically, algebraically, and physically. The mathematical representation of quantum-mechanical superpositions is discussed.","PeriodicalId":139700,"journal":{"name":"The Conceptual Foundations of Quantum Mechanics","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114154390","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}
引用次数: 0
Classical Mechanics 经典力学
The Conceptual Foundations of Quantum Mechanics Pub Date : 2019-12-26 DOI: 10.1093/oso/9780198844686.003.0001
J. Barrett
{"title":"Classical Mechanics","authors":"J. Barrett","doi":"10.1093/oso/9780198844686.003.0001","DOIUrl":"https://doi.org/10.1093/oso/9780198844686.003.0001","url":null,"abstract":"While quantum mechanics is one of the most successful physical theories we have ever had, it is deeply counterintuitive. It must be given the empirical evidence it explains. We consider some of the historical evidence for the theory and the conceptual arguments that led from classical mechanics to quantum mechanics. These considerations illustrate some of the ways in which our commonsense and philosophical intuitions are simply incompatible with the physical world.","PeriodicalId":139700,"journal":{"name":"The Conceptual Foundations of Quantum Mechanics","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117230762","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}
引用次数: 0
Quantum Interference 量子干涉
The Conceptual Foundations of Quantum Mechanics Pub Date : 2019-12-26 DOI: 10.1093/oso/9780198844686.003.0005
J. Barrett
{"title":"Quantum Interference","authors":"J. Barrett","doi":"10.1093/oso/9780198844686.003.0005","DOIUrl":"https://doi.org/10.1093/oso/9780198844686.003.0005","url":null,"abstract":"Moving to more subtle experiments, we consider how the standard formulation of quantum mechanics predicts and explains interference phenomena. Tracking the conditions under which one observes interference phenomena leads to the notion of quantum decoherence. We see why one must sharply distinguish between collapse phenomena and decoherence phenomena on the standard formulation of quantum mechanics. While collapses explain determinate measurement records, environmental decoherence just produces more complex, entangled states where the physical systems involved lack ordinary physical properties. We characterize the quantum-mechanical wave function as both an element of a Hilbert space and a complex-valued function over a configuration space. We also discuss how the wave function is interpreted in the standard theory.","PeriodicalId":139700,"journal":{"name":"The Conceptual Foundations of Quantum Mechanics","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134500881","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}
引用次数: 0
Bohmian Mechanics Bohmian力学
The Conceptual Foundations of Quantum Mechanics Pub Date : 2019-12-26 DOI: 10.1093/oso/9780198844686.003.0011
J. Barrett
{"title":"Bohmian Mechanics","authors":"J. Barrett","doi":"10.1093/oso/9780198844686.003.0011","DOIUrl":"https://doi.org/10.1093/oso/9780198844686.003.0011","url":null,"abstract":"We consider how Bohmian mechanics characterizes the behavior of physical systems paying particular attention to what it means to make a measurement in the theory and how one should understand the empirical content of one’s records. We discuss the sense in which a measurement record selects a branch of the quantum-mechanical state and, hence, why the empirical content of the record is well-understood as being given by the effective wave function in configuration space. We conclude by considering the virtues and vices of Bohmian mechanics given how it accounts for our experience. This includes reflecting on how the theory explains surreal trajectories and EPR-Bell type nonlocal correlations.","PeriodicalId":139700,"journal":{"name":"The Conceptual Foundations of Quantum Mechanics","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129279870","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}
引用次数: 0
The Standard Formulation of Quantum Mechanics 量子力学的标准公式
The Conceptual Foundations of Quantum Mechanics Pub Date : 2001-08-16 DOI: 10.1093/ACPROF:OSO/9780199247431.003.0002
J. Barrett
{"title":"The Standard Formulation of Quantum Mechanics","authors":"J. Barrett","doi":"10.1093/ACPROF:OSO/9780199247431.003.0002","DOIUrl":"https://doi.org/10.1093/ACPROF:OSO/9780199247431.003.0002","url":null,"abstract":"The standard von Neumann-Dirac formulation of quantum mechanics is presented as a set of five basic rules. We discuss each rule is discussed in turn paying particular attention to the conceptual history of the theory. Of central importance is the standard interpretation of states (the eigenvalue-eigenstate link) and the dynamical laws of the theory (the random collapse dynamics and the deterministic linear dynamics) and how the interpretation and dynamics work together to predict and explain the results of basic quantum experiments. While the focus is on the behavior of electrons, we also briefly consider how the theory uses the same mathematical formalism to treat other phenomena like the behavior of neutral K mesons and qbits in a quantum computer.","PeriodicalId":139700,"journal":{"name":"The Conceptual Foundations of Quantum Mechanics","volume":"124 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124602075","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}
引用次数: 0
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