The Logic Of Quantum Mechanics

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The Logic Of Quantum Mechanics Volume 15

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Author : Enrico G. Beltrametti
language : en
Publisher: Cambridge University Press
Release Date : 2010-12-09

The Logic Of Quantum Mechanics Volume 15 written by Enrico G. Beltrametti 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 2010-12-09 with Mathematics categories.

This volume examines the logic, theory and mathematics of quantum mechanics in a clear and thorough way.

Philosophy And Logic Of Quantum Physics

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Author : Jan Philipp Dapprich
language : en
Publisher: Peter Lang Edition
Release Date : 2016

Philosophy And Logic Of Quantum Physics written by Jan Philipp Dapprich and has been published by Peter Lang Edition this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Philosophy and science categories.

The book discusses philosophical and logical problems of quantum physics and its interpretations. Emphasis lies on the compatibility of quantum physics with classical logic and various ontological stances.

An Introduction To Hilbert Space And Quantum Logic

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Author : David W. Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

An Introduction To Hilbert Space And Quantum Logic written by David W. Cohen 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 2012-12-06 with Science categories.

Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.

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.

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.

Quantum Logic

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Author : Karl Svozil
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-09-01

Quantum Logic written by Karl Svozil 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 1998-09-01 with Science categories.

Quantum Logic deals with the foundations of quantum mechanics and, related to it, the behaviour of finite, discrete deterministic systems. The quantum logical approach is particulalry suitable for the investigation and exclusion of certain hidden parameter models of quantum mechanics. Conversely, it can be used to embed quantum universes into classical ones. It is also highly relevant for the characterization of finite automation. This book has been written with a broad readership in mind. Great care has been given to the motivation of the concepts and to the explicit and detailed discussions of examples.

A New Approach To Quantum Logic

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Author : Kurt Engesser
language : en
Publisher:
Release Date : 2007

A New Approach To Quantum Logic written by Kurt Engesser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Quantum logic categories.

This monograph is an investigation into certain new logical structures implicit in the formalism of quantum mechanics. Its message rests on two pillars. The first pillar is the dynamic view of propositions. Propositions are viewed as acting on states of the world and changing them rather than just being true or false in them. The second pillar is a logical enquiry into the nature of the states of a dynamic framework in general and thus the nature of physical states in particular. It turns out that a physical state viewed as a logical entity must encode other states and also itself. The main logical structures under investigation are that of an M-algebra and that of a holistic logic. In a sense to be made precise the latter structures reflect the 'holistic' nature of quantum mechanics.

Do We Really Understand Quantum Mechanics

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Author : Franck Laloë
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-30

Do We Really Understand Quantum Mechanics written by Franck Laloë 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 2012-08-30 with Science categories.

Gives an overview of the quantum theory and its main interpretations. Ideal for researchers in physics and mathematics.

Quantum Logic

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Author : Peter Mittelstaedt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Quantum Logic written by Peter Mittelstaedt 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 2012-12-06 with Science categories.

In 1936, G. Birkhoff and J. v. Neumann published an article with the title The logic of quantum mechanics'. In this paper, the authors demonstrated that in quantum mechanics the most simple observables which correspond to yes-no propositions about a quantum physical system constitute an algebraic structure, the most important proper ties of which are given by an orthocomplemented and quasimodular lattice Lq. Furthermore, this lattice of quantum mechanical proposi tions has, from a formal point of view, many similarities with a Boolean lattice L8 which is known to be the lattice of classical propositional logic. Therefore, one could conjecture that due to the algebraic structure of quantum mechanical observables a logical calculus Q of quantum mechanical propositions is established, which is slightly different from the calculus L of classical propositional logic but which is applicable to all quantum mechanical propositions (C. F. v. Weizsacker, 1955). This calculus has sometimes been called 'quan tum logic'. However, the statement that propositions about quantum physical systems are governed by the laws of quantum logic, which differ from ordinary classical logic and which are based on the empirically well-established quantum theory, is exposed to two serious objec tions: (a) Logic is a theory which deals with those relationships between various propositions that are valid independent of the content of the respective propositions. Thus, the validity of logical relationships is not restricted to a special type of proposition, e. g. to propositions about classical physical systems.

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.