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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Davies, E. B. (1976).Quantum Theory of Open Systems, Academic Press, London.
Davies, E. B., and Lewis, J. T. (1970).Commun. Math. Phys.,17, 239.
Grabowski, M. (1978).Rep. Math. Phys. (submitted).
Holevo, A. S. (1973).J. Multivariate Anal.,3, 337.
Isihara, A. (1971).Statistical Physics, Academic Press, New York.
Klein, O. (1931).Z. Phys.,72, 767.
von Neumann, J. (1932).Mathematische Grundlagen der Quantenmechanik, Springer Verlag, Berlin.
Ochs, W. (1976).Rep. Math. Phys.,9, 135.
Prugovecki, E. (1976).J. Math. Phys.,17, 517.
Twareque Ali, S., and Emch, G. G. (1974).J. Math. Phys.,15, 176.
Twareque Ali, S., and Doebner, D. (1976).J. Math. Phys.,17, 1105.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grabowski, M. A-entropy for generalized observables. Int J Theor Phys 17, 635–641 (1978). https://doi.org/10.1007/BF00673014
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00673014