International Journal of Theoretical Physics

, Volume 32, Issue 3, pp 433–442

Jauch-Piron states on concrete quantum logics

  • V. Müller

DOI: 10.1007/BF00673353

Cite this article as:
Müller, V. Int J Theor Phys (1993) 32: 433. doi:10.1007/BF00673353


We exhibit an example of a concrete (=set-representable) quantum logic which is not a Boolean algebra such that every state on it is Jauch-Piron. This gives a negative answer to a problem raised by Navara and Pták. Further we show that such an example does not exist in the class of complete (i.e., closed under arbitrary disjoint unions) concrete logics.

Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • V. Müller
    • 1
  1. 1.Institute of MathematicsCzechoslovak Academy of SciencesPrague 1Czechoslovakia