International Journal of Theoretical Physics

, Volume 17, Issue 8, pp 635–641 | Cite as

A-entropy for generalized observables

  • Marian Grabowski
Article

Abstract

We investigateA-entropy with respect to certain semispectral measures in a given state. It is shown that the entropy with respect to an observable describing “simultaneous” measurement of position and momentum is greater than the von Neumann entropy. Similar results are obtained for the fuzzy and sharp positions. The continuity properties of this entropy are also examined.

Keywords

Entropy Field Theory Elementary Particle Quantum Field Theory Continuity Property 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Davies, E. B. (1976).Quantum Theory of Open Systems, Academic Press, London.Google Scholar
  2. Davies, E. B., and Lewis, J. T. (1970).Commun. Math. Phys.,17, 239.Google Scholar
  3. Grabowski, M. (1978).Rep. Math. Phys. (submitted).Google Scholar
  4. Holevo, A. S. (1973).J. Multivariate Anal.,3, 337.Google Scholar
  5. Isihara, A. (1971).Statistical Physics, Academic Press, New York.Google Scholar
  6. Klein, O. (1931).Z. Phys.,72, 767.Google Scholar
  7. von Neumann, J. (1932).Mathematische Grundlagen der Quantenmechanik, Springer Verlag, Berlin.Google Scholar
  8. Ochs, W. (1976).Rep. Math. Phys.,9, 135.Google Scholar
  9. Prugovecki, E. (1976).J. Math. Phys.,17, 517.Google Scholar
  10. Twareque Ali, S., and Emch, G. G. (1974).J. Math. Phys.,15, 176.Google Scholar
  11. Twareque Ali, S., and Doebner, D. (1976).J. Math. Phys.,17, 1105.Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • Marian Grabowski
    • 1
  1. 1.Institute of PhysicsNicholas Copernicus UniversityToruńPoland

Personalised recommendations