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Three Quantum Theories of Measurement

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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 71))

Abstract

We consider the conservation of angular momentum in the measurement theories of Bohr (apparatus described classically), von Neumann (standard quantum theory) and Wigner, Araki and Yanase.

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References

  1. Bohr, N. (1934), Atomic Theory and the Description of Nature, Cambridge University Press, Cambridge, London.

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  2. Bohr, N. (1928) Atti del Congresso Internazionale dei Fisici, Como, 11-20 Settembre 1927, Zanichelli, Bologna, Vol. 2, pp. 565–588.

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  3. Bohr, N. (1928) “Das Quantenpostulat und die neuere Entwicklung der Atomistik,” Die Naturwissenschaften, 16 pp. 245–257.

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  4. Fock, V.A. quoted by E. P. Wigner, in “The subject of our discussions,” Rendiconti della Scuola Internazionale di FisicaEnrico FermiIL, 7, 1970.

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  5. Jammer, M. (1974). The Philosophy of Quantum Mechanics, Wiley, New York.

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  6. Cufaro-Petroni, N., Garuccio, A., Selleri, F., Vigier, J.P. (1980). “Sur la contradiction entre la théorie quantique classique (idéalisée) de la mesure et la conservation du carré du moment angulairé total dans le paradoxe d’Einstein, Podolski et Rosen,” Comptes Rendus Acad. Sci. Paris, 290B (111).

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  7. Von Neumann, J. (1932). Mathematische Grundlagen der Quantenmechanik, Springer, Berlin.

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  8. see Wigner, E.P. (1952), “Die Messung quantenmechanischer Operatoren,” Zeitschrift für Physik, 133 pp. 101–108.

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  9. Araki, H.A. and Yanase, M.M. (1960), “Measurement of quantum mechanical operators,” Physical Review, 120 pp. 622–626.

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  10. Yanase, M.M. (1961), “Optimal measuring apparatus,” Physical Review, 123 pp. 666–668.

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© 1995 Springer Science+Business Media Dordrecht

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Afriat, A., Selleri, F. (1995). Three Quantum Theories of Measurement. In: Garola, C., Rossi, A. (eds) The Foundations of Quantum Mechanics — Historical Analysis and Open Questions. Fundamental Theories of Physics, vol 71. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0029-8_2

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  • DOI: https://doi.org/10.1007/978-94-011-0029-8_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4017-4

  • Online ISBN: 978-94-011-0029-8

  • eBook Packages: Springer Book Archive

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