Regularly full logics and the uniqueness problem for observables

Pavel Pták; Vladimir Rogalewicz

Annales de l'I.H.P. Physique théorique (1983)

  • Volume: 38, Issue: 1, page 69-74
  • ISSN: 0246-0211

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Pták, Pavel, and Rogalewicz, Vladimir. "Regularly full logics and the uniqueness problem for observables." Annales de l'I.H.P. Physique théorique 38.1 (1983): 69-74. <http://eudml.org/doc/76183>.

@article{Pták1983,
author = {Pták, Pavel, Rogalewicz, Vladimir},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {means of observables; bounded observables on a logic},
language = {eng},
number = {1},
pages = {69-74},
publisher = {Gauthier-Villars},
title = {Regularly full logics and the uniqueness problem for observables},
url = {http://eudml.org/doc/76183},
volume = {38},
year = {1983},
}

TY - JOUR
AU - Pták, Pavel
AU - Rogalewicz, Vladimir
TI - Regularly full logics and the uniqueness problem for observables
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 38
IS - 1
SP - 69
EP - 74
LA - eng
KW - means of observables; bounded observables on a logic
UR - http://eudml.org/doc/76183
ER -

References

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  1. [1] J. Brabec, P. Pták, On compatibility in quantum logics, Foundations of Physics, t. 12, no. 2, 1982, p. 207-212. MR659779
  2. [2] A. Gleason, Measures on closed subspaces of a Hilbert space, Journal of Mathematics and Mechanics, t. 6, 1965, p. 428-442. MR96113
  3. [3] R. Greechie, Orthomodular lattices admitting no states, J. Comb. Theory, t. 10. 1971, p. 119-132. Zbl0219.06007MR274355
  4. [4] S. Gudder, Uniqueness and existence properties of bounded observables, Pacific Journal Math., t. 19, 1966, p. 81-93, p. 578-589. Zbl0149.23603MR201146
  5. [5] S. Gudder, Stochastic Methods in Quantum Mechanics, Elsevier North Holland, New York, 1979. Zbl0439.46047MR543489
  6. [6] F.W. Shultz, A characterization of state spaces of orthomodular lattices, J. Comb. Theory, t. A17, 1974, p. 317-325. Zbl0317.06007MR364042
  7. [7] V.S. Varadarajan, Geometry of Quantum Theory I, Van Nostrand Reinhold. Princeton, New Jersey , 1968. Zbl0155.56802MR471674

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