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On the Change of the Skew Information in the Process of Quantum Mechanical Measurements

  • A. Frenkel
  • E. P. Wigner
  • M. M. Yanase
Chapter
Part of the The Scientific Papers book series (WIGNER, volume A / 3)

Abstract

The amount of information on the values of observables which do not commute with the additive conserved quantities may be measured by the skew information I defined in Eq. (1). In Section 1 we enumerate the basic properties of this expression. In Section 2 the change of the skew information is investigated in the process of quantum mechanical measurements in which the pointer position of the apparatus uniquely determines its content of the conserved quantity. In Section 3 the consequences of this limitation on the types of measurements considered are discussed and some open problems concerning the skew information are mentioned.

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References

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    E. P. Wigner and M. M. Yanase: Proc. N.A.S..449, 910 (1963); Can. J. Math. 16, 397 (1964); See also E. P. Wigner: Physikertagung Wien. Physik Verlag, Mosbach/Baden 1962, p. 1Google Scholar
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    E. P. Wigner: Z. Physik 133, 101 (1952); H. Araki and M. M. Yanase: Phys. Rev. 120, 622 (1960); M. M. Yanase: Phys. Rev. 123, 666 (1961)CrossRefGoogle Scholar
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    J. von Neumann: Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton 1955. See also E. P. Wigner: Epistemology of Quantum Mechanics in Contemporary Physics, vol. II, p. 431. Trieste Symposium 196P ( IAEA, Vienna, 1969 )Google Scholar
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    W. Pauli: Die allgemeinen Prinzipien der Wellenmechanik. In: Handbbuch der Physik, Bd. V, Teil 1, 1Google Scholar

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© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • A. Frenkel
  • E. P. Wigner
  • M. M. Yanase

There are no affiliations available

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