Overview

In this text, problems of the foundations of quantum mechanics are viewed from the perspective provided by a generalization of the mathematical formalism encompassing positive operator-valued measures. One objective is to demonstrate the crucial role the generalized formalism plays in fundamental issues as well as in practical applications, and to contribute to the development of the operational approach. A second objective is the development of an empiricist interpretation of this approach, duly taking into account the role played by the measuring instrument in quantum mechanical measurements. Copenhagen and anti-Copenhagen interpretations are critically assessed, and found to be wanting due to insufficiently taking into account the measurement interaction. The Einstein-Podolsky-Rosen problem and the problem of the Bell inequalities are discussed, starting from this new perspective. An explanation of violation of the Bell inequalities is developed, providing an alternative to the usual explanation on the basis of non-locality. The treatise is based on lecture notes of an advanced course on the foundations of quantum mechanics.

Full Product Details

Author:   W.M. de Muynck
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002 ed.
Volume:   127
Dimensions:   Width: 15.60cm , Height: 3.80cm , Length: 23.40cm
Weight:   2.580kg
ISBN:  

9781402009327

ISBN 10:   1402009321
Pages:   684
Publication Date:   30 September 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Standard and generalized formalisms of quantum mechanics.- Empiricist and realist interpretations of quantum mechanics.- Quantum mechanical description of measurement, and the “measurement problem”.- The Copenhagen interpretation.- The Einstein-Podolsky-Rosen problem.- Individual-particle and ensemble interpretations of quantum mechanics.- Generalized quantum mechanics.- Applications of generalized quantum mechanics.- The Bell inequality in quantum mechanics.- Subquantum or hidden-variables theories.

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