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WORLD SCIENTIFIC eBooks

John S Bell on the Foundations of Quantum Mechanics

Mary Bell, Kurt Gottfried, Martinus J. G. Veltman

Published Aug 1, 2001• 79 citations
Publisher

Abstract

This book is the most complete collection of John S Bell's research papers, review articles and lecture notes on the foundations of quantum mechanics. Some of this material has hitherto been difficult to access. The book also appears in a paperback edition, aimed at students and young researchers. This volume will be very useful to researchers in the foundations and applications of quantum mechanics. Contents: (1) On the Problem of Hidden Variables in Quantum Mechanics; (2) On the Einstein-Podolsky-Rosen Paradox; (3) The Moral Aspect of Quantum Mechanics; (4) Introduction to the Hidden-Variabl

DOI
10.1142/4757

Related papers

Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy

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John S Bell 1987 Cambridge: Cambridge University Press vii + 212 pp price £25 ISBN 0 521 33495 0 This book is a collection of John Bell's papers dealing explicitly with the foundations of quantum mechanics (or, as he puts it, ' quantum philosophy '), plus one paper on the pedagogy of special relativity. The first two are the classic papers of 1 966 and 1 964, which respectively demolished the 'impossibility proofs' concerning hidden variables and proved the famous theorem on the incompatibility of the predictions of local hidden-variable theories with those of quantum mechanics.

Physics Bulletin•Jun 1, 1988•180 citations

Speakable and Unspeakable in Quantum Mechanics

James S. Bell, Alain Aspect

John Bell, FRS was one of the leading expositors and interpreters of modern quantum theory. He is particularly famous for his discovery of the crucial difference between the predictions of conventional quantum mechanics and the implications of local causality, a concept insisted on by Einstein. John Bell's work played a major role in the development of our current understanding of the profound nature of quantum concepts and of the fundamental limitations they impose on the applicability of the classical ideas of space, time and locality. This book includes all of John Bell's published and unpublished papers on the conceptual and philosophical problems of quantum mechanics, including two papers that appeared after the first edition was published. The book includes a short Preface written by the author for the first edition, and also an introduction by Alain Aspect that puts into context John Bell's enormous contribution to the quantum philosophy debate.

Cambridge University Press eBooks•Jun 3, 2004•1,258 citations

John Bell’s scientific correspondence in the early 1970s

Angela Laurora, Augusto Garuccio

It’s well known the role of John Bell’s article On the Einstein- Podolsky-Rosen paradox, published in 1964, for having aroused a renewed interest toward the research about Quantum Mechanics foundations, though only after some years it was observed the consequences in stimulating and orienting the reflection and the research work of physicists concerned with the topic. In fact, the interest and the participation in the debate expanded following the article by Clauser, Horne, Holt and Shimony in 1969 on the proposal of experimental tests on Bell’s inequality verify, as well as after contributions and discussion at Varenna Conference in 1970 and the out- comes publication of first generation experimental tests conducted between 1972 and 1976. From John Bell’s scientific correspondence 10 unpublished letters are selected and, from November 1970 to January 1980, these docu- ments testify and confirm an increased involvement in the research on Quantum Mechanics foundations and involve, as interlocutors of the corre- spondence, authors such as Max Jammer, Daniel Evrard, Francois Bonsack Chabat, Louis de Broglie, David Bohm and Basil Hiley.

•Jan 1, 2019•0 citations

Quantum mechanics - concepts and applications

Helmut Rechenberg

The book is designed to serve as an `upper-level one-semester course in Quantum mechanics for students majoring in physics or related topics'. To that purpose the author has organised the contents into roughly six parts, giving first a historical introduction into quanta and matter waves, then the solution of the Schrödinger equations in one, and subsequently in three dimensions; in a fourth part spin and the concept of identical particles are explained, whilst in the next the approximation (perturbation) methods and their application to atomic systems and the creation and transfer of radiations. Finally there are two chapters on molecular and solid state physics. Each chapter is accompanied by a selection of appropriate problems. Appendix, index plus diskette are provided. As the author states, the topics and examples were taken from his other (successful) book, Introduction to Modern Physics . It appears to the reviewer that the present account may indeed serve as a first introduction into the elementary aspects of quantum mechanics, with particular emphasis on explaining the basic concepts (like spin, statistics, even the Einstein-Podolsky-Rosen paradox). Addressed are the slightly advanced students of science. The language is clear, the formal apparatus does not overwhelm the reader, and the figures have been carefully selected and drawn. We do recommend the book for the purpose envisaged. It raises the appetite for a more systematic and extended study of the subject.

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Quantum mechanics versus local realism : the Einstein-Podolsky-Rosen paradox

F. Selleri

1 History of the Einstein-Podolsky-Rosen Paradox.- 2 Are Faster-Than-Light Influences Necessary?.- 3 All the Inequalities of Einstein Locality.- 4 Einstein-Podolsky-Rosen Experiments Using the Decays of ?c or J/? into ??? ? ?-?p?+p?.- Chapter5 Einstein-Podolsky-Rosen Paradox for the K0-K?0 and B0-B?0 Systems.- 6 Even Local Probabilities Lead to the Paradox.- 7 The Experimental Investigation of the Einstein-Podolsky-Rosen Question and Bell's Inequality.- 8 Rapisarda's Experiment: Testing Quantum Mechanics versus Local Hidden-Variable Theories with Dichotomic Analyzers.- 9 Nonlocality and the Einstein-Podolsky-Rosen Experiment as Understood through the Quantum-Potential Approach.- 10 Interpretation of the Einstein-Podolsky-Rosen Effect in Terms of a Generalized Causality.- 11 Quantum Action-at-a-Distance: The Mystery of Einstein-Podolsky-Rosen Correlations.- 12 Particle Trajectories and Quantum Correlations.- 13 Bell's Inequality and the Nonergodic Interpretation of Quantum Mechanics.- 14 An Extended-Probability Response to the Einstein-Podolsky-Rosen Argument.- 15 The Search for Hidden Variables in Quantum Mechanics.- 16 Variable Detection Probability Models for Einstein-Podolsky-Rosen-Type Experiments.- 17 Stochastic Electrodynamics and the Einstein-Podolsky-Rosen Argument.- 18 Explicit Calculations with a Hidden-Variable Spin Model.- 19 Symmetric and Asymmetric Models for Atomic Cascade Experiments.

Plenum Press eBooks•Jan 1, 1988•64 citations

Bell on Bohm

Sheldon Goldstein

Prologue A memorial conference for John Bell, open to the public, was held at Rutgers University around 20 years ago. I gave a short talk there on Bell's views about David Bohm's “hidden variables” formulation of quantum mechanics, a version of quantum mechanics often called the de Broglie–Bohm theory or Bohmian mechanics. This theory was in fact discovered by Louis de Broglie in 1927. In 1952, it was rediscovered and developed by Bohm, who was the first to appreciate its connection to the predictions of standard quantum mechanics. I did not publish the talk. I have decided that it would be appropriate to publish a very lightly edited version of it here, in this volume devoted to the work of Bell on the foundation of quantum mechanics. One reason for doing so is that the connection between Bell and Bohm continues to be somewhat underplayed, with the strength of his advocacy of Bohmian mechanics not properly appreciated. For example, about half of the papers in Bell's collected works on the foundations of quantum mechanics deal with Bohmian mechanics. But in his fine introduction to the revised edition of this great book [1], Alain Aspect mentions this theory in only a single sentence, and parenthetically at that. For several decades after Bell proved his nonlocality theorem, based in part on Bell's inequality, it was widely claimed that Bell had shown that hidden variables – and Bohmian mechanics in particular – were impossible, that they were incompatible with the predictions of quantum mechanics. For example, the great physicist Eugene Wigner, who, unlike most of his contemporaries, was profoundly concerned with the conceptual foundations of quantum mechanics and usually wrote on the subject with great clarity and insight, has written that This [hidden variables] is an interesting idea and even though few of us were ready to accept it, it must be admitted that the truly telling argument against it was produced as late as 1965, by J. S. Bell … This appears to give a convincing argument against the hidden variables theory.

Cambridge University Press eBooks•Aug 31, 2016•0 citations
This book is the most complete collection of John S Bell's research papers, review articles and lecture notes on the foundations of quantum mechanics. Some of this material has hitherto been difficult to access. The book also appears in a paperback edition, aimed at students and young researchers. This volume will be very useful to researchers in the foundations and applications of quantum mechanics. Contents: (1) On the Problem of Hidden Variables in Quantum Mechanics; (2) On the Einstein-Podolsky-Rosen Paradox; (3) The Moral Aspect of Quantum Mechanics; (4) Introduction to the Hidden-Variabl
John S Bell 1987 Cambridge: Cambridge University Press vii + 212 pp price £25 ISBN 0 521 33495 0 This book is a collection of John Bell's papers dealing explicitly with the foundations of quantum mechanics (or, as he puts it, ' quantum philosophy '), plus one paper on the pedagogy of special relativity. The first two are the classic papers of 1 966 and 1 964, which respectively demolished the 'impossibility proofs' concerning hidden variables and proved the famous theorem on the incompatibility of the predictions of local hidden-variable theories with those of quantum mechanics.
John Bell, FRS was one of the leading expositors and interpreters of modern quantum theory. He is particularly famous for his discovery of the crucial difference between the predictions of conventional quantum mechanics and the implications of local causality, a concept insisted on by Einstein. John Bell's work played a major role in the development of our current understanding of the profound nature of quantum concepts and of the fundamental limitations they impose on the applicability of the classical ideas of space, time and locality. This book includes all of John Bell's published and unpublished papers on the conceptual and philosophical problems of quantum mechanics, including two papers that appeared after the first edition was published. The book includes a short Preface written by the author for the first edition, and also an introduction by Alain Aspect that puts into context John Bell's enormous contribution to the quantum philosophy debate.
It’s well known the role of John Bell’s article On the Einstein- Podolsky-Rosen paradox, published in 1964, for having aroused a renewed interest toward the research about Quantum Mechanics foundations, though only after some years it was observed the consequences in stimulating and orienting the reflection and the research work of physicists concerned with the topic. In fact, the interest and the participation in the debate expanded following the article by Clauser, Horne, Holt and Shimony in 1969 on the proposal of experimental tests on Bell’s inequality verify, as well as after contributions and discussion at Varenna Conference in 1970 and the out- comes publication of first generation experimental tests conducted between 1972 and 1976. From John Bell’s scientific correspondence 10 unpublished letters are selected and, from November 1970 to January 1980, these docu- ments testify and confirm an increased involvement in the research on Quantum Mechanics foundations and involve, as interlocutors of the corre- spondence, authors such as Max Jammer, Daniel Evrard, Francois Bonsack Chabat, Louis de Broglie, David Bohm and Basil Hiley.
The book is designed to serve as an `upper-level one-semester course in Quantum mechanics for students majoring in physics or related topics'. To that purpose the author has organised the contents into roughly six parts, giving first a historical introduction into quanta and matter waves, then the solution of the Schrödinger equations in one, and subsequently in three dimensions; in a fourth part spin and the concept of identical particles are explained, whilst in the next the approximation (perturbation) methods and their application to atomic systems and the creation and transfer of radiations. Finally there are two chapters on molecular and solid state physics. Each chapter is accompanied by a selection of appropriate problems. Appendix, index plus diskette are provided. As the author states, the topics and examples were taken from his other (successful) book, Introduction to Modern Physics . It appears to the reviewer that the present account may indeed serve as a first introduction into the elementary aspects of quantum mechanics, with particular emphasis on explaining the basic concepts (like spin, statistics, even the Einstein-Podolsky-Rosen paradox). Addressed are the slightly advanced students of science. The language is clear, the formal apparatus does not overwhelm the reader, and the figures have been carefully selected and drawn. We do recommend the book for the purpose envisaged. It raises the appetite for a more systematic and extended study of the subject.
1 History of the Einstein-Podolsky-Rosen Paradox.- 2 Are Faster-Than-Light Influences Necessary?.- 3 All the Inequalities of Einstein Locality.- 4 Einstein-Podolsky-Rosen Experiments Using the Decays of ?c or J/? into ??? ? ?-?p?+p?.- Chapter5 Einstein-Podolsky-Rosen Paradox for the K0-K?0 and B0-B?0 Systems.- 6 Even Local Probabilities Lead to the Paradox.- 7 The Experimental Investigation of the Einstein-Podolsky-Rosen Question and Bell's Inequality.- 8 Rapisarda's Experiment: Testing Quantum Mechanics versus Local Hidden-Variable Theories with Dichotomic Analyzers.- 9 Nonlocality and the Einstein-Podolsky-Rosen Experiment as Understood through the Quantum-Potential Approach.- 10 Interpretation of the Einstein-Podolsky-Rosen Effect in Terms of a Generalized Causality.- 11 Quantum Action-at-a-Distance: The Mystery of Einstein-Podolsky-Rosen Correlations.- 12 Particle Trajectories and Quantum Correlations.- 13 Bell's Inequality and the Nonergodic Interpretation of Quantum Mechanics.- 14 An Extended-Probability Response to the Einstein-Podolsky-Rosen Argument.- 15 The Search for Hidden Variables in Quantum Mechanics.- 16 Variable Detection Probability Models for Einstein-Podolsky-Rosen-Type Experiments.- 17 Stochastic Electrodynamics and the Einstein-Podolsky-Rosen Argument.- 18 Explicit Calculations with a Hidden-Variable Spin Model.- 19 Symmetric and Asymmetric Models for Atomic Cascade Experiments.
Prologue A memorial conference for John Bell, open to the public, was held at Rutgers University around 20 years ago. I gave a short talk there on Bell's views about David Bohm's “hidden variables” formulation of quantum mechanics, a version of quantum mechanics often called the de Broglie–Bohm theory or Bohmian mechanics. This theory was in fact discovered by Louis de Broglie in 1927. In 1952, it was rediscovered and developed by Bohm, who was the first to appreciate its connection to the predictions of standard quantum mechanics. I did not publish the talk. I have decided that it would be appropriate to publish a very lightly edited version of it here, in this volume devoted to the work of Bell on the foundation of quantum mechanics. One reason for doing so is that the connection between Bell and Bohm continues to be somewhat underplayed, with the strength of his advocacy of Bohmian mechanics not properly appreciated. For example, about half of the papers in Bell's collected works on the foundations of quantum mechanics deal with Bohmian mechanics. But in his fine introduction to the revised edition of this great book [1], Alain Aspect mentions this theory in only a single sentence, and parenthetically at that. For several decades after Bell proved his nonlocality theorem, based in part on Bell's inequality, it was widely claimed that Bell had shown that hidden variables – and Bohmian mechanics in particular – were impossible, that they were incompatible with the predictions of quantum mechanics. For example, the great physicist Eugene Wigner, who, unlike most of his contemporaries, was profoundly concerned with the conceptual foundations of quantum mechanics and usually wrote on the subject with great clarity and insight, has written that This [hidden variables] is an interesting idea and even though few of us were ready to accept it, it must be admitted that the truly telling argument against it was produced as late as 1965, by J. S. Bell … This appears to give a convincing argument against the hidden variables theory.