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Logic And Probability In Quantum Mechanics


Logic And Probability In Quantum Mechanics
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Logic And Probability In Quantum Mechanics


Logic And Probability In Quantum Mechanics
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Author : Patrick Suppes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Logic And Probability In Quantum Mechanics written by Patrick Suppes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.


During the academic years 1972-1973 and 1973-1974, an intensive sem inar on the foundations of quantum mechanics met at Stanford on a regular basis. The extensive exploration of ideas in the seminar led to the org~ization of a double issue of Synthese concerned with the foundations of quantum mechanics, especially with the role of logic and probability in quantum meChanics. About half of the articles in the volume grew out of this seminar. The remaining articles have been so licited explicitly from individuals who are actively working in the foun dations of quantum mechanics. Seventeen of the twenty-one articles appeared in Volume 29 of Syn these. Four additional articles and a bibliography on -the history and philosophy of quantum mechanics have been added to the present volume. In particular, the articles by Bub, Demopoulos, and Lande, as well as the second article by Zanotti and myself, appear for the first time in the present volume. In preparing the articles for publication I am much indebted to Mrs. Lillian O'Toole, Mrs. Dianne Kanerva, and Mrs. Marguerite Shaw, for their extensive assistance.



Quantum Probability Quantum Logic


Quantum Probability Quantum Logic
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Author : Itamar Pitowsky
language : en
Publisher:
Release Date : 2014-01-15

Quantum Probability Quantum Logic written by Itamar Pitowsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Probability And Schrodinger S Mechanics


Probability And Schrodinger S Mechanics
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Author : David B Cook
language : en
Publisher: World Scientific
Release Date : 2002-12-26

Probability And Schrodinger S Mechanics written by David B Cook and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-26 with Science categories.


This book addresses some of the problems of interpreting Schrödinger's mechanics — the most complete and explicit theory falling under the umbrella of “quantum theory”. The outlook is materialist (“realist”) and stresses the development of Schrödinger's mechanics from classical theories and its close connections with (particularly) the Hamilton-Jacobi theory. Emphasis is placed on the concepts and use of the modern objective (measure-theoretic) probability theory. The work is free from any mention of the bearing of Schrödinger's mechanics on God, his alleged mind or, indeed, minds at all. The author has taken the naïve view that this mechanics is about the structure and dynamics of atomic and sub-atomic systems since he has been unable to trace any references to minds, consciousness or measurements in the foundations of the theory.



Gleason S Theorem And Its Applications


Gleason S Theorem And Its Applications
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Author : Anatolij Dvurecenskij
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-01-31

Gleason S Theorem And Its Applications written by Anatolij Dvurecenskij and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-31 with Mathematics categories.


This volume deals with Gleason's theorem and Gleason's measures and indicates the many ways in which they can be applied. The book comprises five chapters. Chapter 1 is devoted to elements of Hilbert space theory. Chapter 2 is devoted to quantum logic theory. Gleason's theorem is described and proved in Chapter 3, together with proofs for measures that can attain infinite values. In Chapter 4 the possibility of applying Gleason's theorem to the completeness criteria of inner product spaces is addressed. Chapter 5 discusses orthogonal measures and the unexpected possibility of describing states on Keller spaces, as well as other applications. Throughout the book, important facts and concepts are illustrated exercises. For mathematicians and physicists interested in the mathematical foundations of quantum mechanics, and those whose work involves noncommutative measure theory, orthomodular lattices. Hilbert space theory and probability theory.



John Von Neumann And The Foundations Of Quantum Physics


John Von Neumann And The Foundations Of Quantum Physics
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Author : Miklós Rédei
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

John Von Neumann And The Foundations Of Quantum Physics written by Miklós Rédei and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.


John von Neumann (1903-1957) was undoubtedly one of the scientific geniuses of the 20th century. The main fields to which he contributed include various disciplines of pure and applied mathematics, mathematical and theoretical physics, logic, theoretical computer science, and computer architecture. Von Neumann was also actively involved in politics and science management and he had a major impact on US government decisions during, and especially after, the Second World War. There exist several popular books on his personality and various collections focusing on his achievements in mathematics, computer science, and economy. Strangely enough, to date no detailed appraisal of his seminal contributions to the mathematical foundations of quantum physics has appeared. Von Neumann's theory of measurement and his critique of hidden variables became the touchstone of most debates in the foundations of quantum mechanics. Today, his name also figures most prominently in the mathematically rigorous branches of contemporary quantum mechanics of large systems and quantum field theory. And finally - as one of his last lectures, published in this volume for the first time, shows - he considered the relation of quantum logic and quantum mechanical probability as his most important problem for the second half of the twentieth century. The present volume embraces both historical and systematic analyses of his methodology of mathematical physics, and of the various aspects of his work in the foundations of quantum physics, such as theory of measurement, quantum logic, and quantum mechanical entropy. The volume is rounded off by previously unpublished letters and lectures documenting von Neumann's thinking about quantum theory after his 1932 Mathematical Foundations of Quantum Mechanics. The general part of the Yearbook contains papers emerging from the Institute's annual lecture series and reviews of important publications of philosophy of science and its history.



Probabilities In Physics


Probabilities In Physics
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Author : Claus Beisbart
language : en
Publisher: Oxford University Press
Release Date : 2011-09-15

Probabilities In Physics written by Claus Beisbart and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-15 with Philosophy categories.


Many results of modern physics--those of quantum mechanics, for instance--come in a probabilistic guise. But what do probabilistic statements in physics mean? Are probabilities matters of objective fact and part of the furniture of the world, as objectivists think? Or do they only express ignorance or belief, as Bayesians suggest? And how are probabilistic hypotheses justified and supported by empirical evidence? Finally, what does the probabilistic nature of physics imply for our understanding of the world? This volume is the first to provide a philosophical appraisal of probabilities in all of physics. Its main aim is to make sense of probabilistic statements as they occur in the various physical theories and models and to provide a plausible epistemology and metaphysics of probabilities. The essays collected here consider statistical physics, probabilistic modelling, and quantum mechanics, and critically assess the merits and disadvantages of objectivist and subjectivist views of probabilities in these fields. In particular, the Bayesian and Humean views of probabilities and the varieties of Boltzmann's typicality approach are examined. The contributions on quantum mechanics discuss the special character of quantum correlations, the justification of the famous Born Rule, and the role of probabilities in a quantum field theoretic framework. Finally, the connections between probabilities and foundational issues in physics are explored. The Reversibility Paradox, the notion of entropy, and the ontology of quantum mechanics are discussed. Other essays consider Humean supervenience and the question whether the physical world is deterministic.



Quantum Probability


Quantum Probability
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Author : Stanley P. Gudder
language : en
Publisher: Academic Press
Release Date : 1988-09

Quantum Probability written by Stanley P. Gudder and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-09 with Mathematics categories.


Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism. Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles. The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space.



Logic And Probability In Quantum Mechanics


Logic And Probability In Quantum Mechanics
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Author : Patrick Suppes
language : en
Publisher:
Release Date : 1974

Logic And Probability In Quantum Mechanics written by Patrick Suppes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Quantum theory categories.




Probability In Physics


Probability In Physics
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Author : Yemima Ben-Menahem
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-25

Probability In Physics written by Yemima Ben-Menahem and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Science categories.


What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.



The Road To Maxwell S Demon


The Road To Maxwell S Demon
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Author : Meir Hemmo
language : en
Publisher: Cambridge University Press
Release Date : 2012-09-20

The Road To Maxwell S Demon written by Meir Hemmo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-20 with Science categories.


A philosophical perspective to statistical mechanics for graduate students and researchers in the foundations and philosophy of physics.