Foundations of Quantum Mechanics, an Empiricist Approach

Old and new problems of the foundations of quantum mechanics are viewed from the new 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...

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Bibliographic Details
Main Author: Muynck, Willem M. de. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Dordrecht : Springer Netherlands, 2002.
Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application ; 127
Subjects:
Online Access:View fulltext via EzAccess
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490 1 # |a Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application ;  |v 127 
505 0 # |a Standard and generalized formalisms of quantum mechanics -- Empiricist and realist interpretations of quantum mechanics -- Quantum mechanical description of measurement, and the ỚSmeasurement problemỚ<U+00fd> -- 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. 
520 # # |a Old and new problems of the foundations of quantum mechanics are viewed from the new 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. This treatise is based on lecture notes of an advanced course on the foundations of quantum mechanics. 
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