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
E.P. Wigner and M.M. Yanase: Proc. N.A.S. 49, 910 (1963), Can. Jour. Math. 16, 397 (1964). See also E.P. Wigner: Physikertagung Wien ( Mosbach/Baden: Physik Verlag, 1962 ) p. 1
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W. Pauli: Die allgemeinen Prinzipien der Wellenmechanik. In: Handbuch der Physik, Bd. V, Teil 1, 1
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Frenkel, A., Wigner, E., Yanase, M. (1995). On the Change of the Skew Information in the Process of Quantum Mechanical Measurements. In: Mehra, J. (eds) Philosophical Reflections and Syntheses. The Collected Works of Eugene Paul Wigner, vol B / 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78374-6_14
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DOI: https://doi.org/10.1007/978-3-642-78374-6_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63372-3
Online ISBN: 978-3-642-78374-6
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