Skip to main content

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

  • Chapter
Part I: Particles and Fields. Part II: Foundations of Quantum Mechanics

Part of the book series: The Scientific Papers ((2875,volume A / 3))

  • 468 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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. 1

    Google Scholar 

  2. 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)

    Article  Google Scholar 

  3. 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 

  4. W. Pauli: Die allgemeinen Prinzipien der Wellenmechanik. In: Handbbuch der Physik, Bd. V, Teil 1, 1

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Frenkel, A., Wigner, E.P., Yanase, M.M. (1997). On the Change of the Skew Information in the Process of Quantum Mechanical Measurements. In: Wightman, A.S. (eds) Part I: Particles and Fields. Part II: Foundations of Quantum Mechanics. The Scientific Papers, vol A / 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09203-3_55

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-09203-3_55

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08179-8

  • Online ISBN: 978-3-662-09203-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics