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Schrödinger’s Thoughts on Perfect Knowledge

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The Concept of Probability

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 24))

Abstract

Perfect knowledge of the many-body system is contained in the wavefunction but, as Schrodinger has already emphasized, best possible knowledge of a whole does not include the best possible knowledge of its parts. Separability from the point of view of quantum mechanics is discussed. General “entangled” systems are analysed in terms of knowledge. If the state vector is defined for a whole system its parts are described only by mixed density operators. Correlations violating Bell’s inequality are necessary to avoid super luminal signaling and result from the lack of independent reality of subsystems. Model calculations on two separated atoms and on non- interacting gas show that the perfect knowledge of the whole system or the total wavef unction is not sufficient to calculate local properties without actually solving the local problem.

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© 1989 Kluwer Academic Publishers

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Duch, W. (1989). Schrödinger’s Thoughts on Perfect Knowledge. In: Bitsakis, E.I., Nicolaides, C.A. (eds) The Concept of Probability. Fundamental Theories of Physics, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1175-8_2

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  • DOI: https://doi.org/10.1007/978-94-009-1175-8_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7023-2

  • Online ISBN: 978-94-009-1175-8

  • eBook Packages: Springer Book Archive

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