Compatibility and partial compatibility in quantum logics

Sylvia Pulmannová

Annales de l'I.H.P. Physique théorique (1981)

  • Volume: 34, Issue: 4, page 391-403
  • ISSN: 0246-0211

How to cite

top

Pulmannová, Sylvia. "Compatibility and partial compatibility in quantum logics." Annales de l'I.H.P. Physique théorique 34.4 (1981): 391-403. <http://eudml.org/doc/76122>.

@article{Pulmannová1981,
author = {Pulmannová, Sylvia},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {joint distributions of observables; Boolean sub-sigma-algebra},
language = {eng},
number = {4},
pages = {391-403},
publisher = {Gauthier-Villars},
title = {Compatibility and partial compatibility in quantum logics},
url = {http://eudml.org/doc/76122},
volume = {34},
year = {1981},
}

TY - JOUR
AU - Pulmannová, Sylvia
TI - Compatibility and partial compatibility in quantum logics
JO - Annales de l'I.H.P. Physique théorique
PY - 1981
PB - Gauthier-Villars
VL - 34
IS - 4
SP - 391
EP - 403
LA - eng
KW - joint distributions of observables; Boolean sub-sigma-algebra
UR - http://eudml.org/doc/76122
ER -

References

top
  1. [1] G.W. Mackey, Mathematical foundations of quantum mechanics, W. A. Benjamin, New York, 1963. Zbl0114.44002
  2. [2] V.S. Varadarajan, Probability in physics and a theorem on simultaneous observability, Commun. Pure Appl. Math., t. 15, 1962, p. 189-217. Zbl0109.44705MR163616
  3. [3] V.S. Varadarajan, Geometry of quantum theory, Van Nostrand, Princeton, N. Y., 1968. Zbl0155.56802MR471674
  4. [4] W. Guz, On the simultaneous verifiability of yes-no measurements, Int. J. Theoret. Phys., t. 17, 1978, p. 543-548. Zbl0398.03051MR529700
  5. [5] W. Guz, Quantum logic and a theorem on commensurability, Rep. Math. Phys., t. 2, 1971, p. 53-61. MR305736
  6. [6] J.C.T. Pool, Simultaneous observability and the logic of quantum mechanics, Ph. D. Thesis, State University of Iova, 1963. 
  7. [7] A. Ramsay, A theorem on two commuting observables, J. Math. and Mech., t. 15, 1966, p. 227-234. Zbl0143.23003MR186587
  8. [8] T. Neubrunn, On certain type of generalized random variables, Acta Fac. Rer. Natur. Univ. Commen. Math., t. 29, 1974, p. 1-6. Zbl0294.60008MR363313
  9. [9] J. Brabec, Compatibility in orthomodular posets, Časopis pro pĕstování matematiky, t. 104, 1979, p. 149-153. Zbl0416.06004MR531926
  10. [10] T. Neubrunn, S. Pulmannová, Compatibility in quantum logics, Acta Fac. Rer. Natur. Univ. Comen. Math., to appear. Zbl0539.03045MR740744
  11. [11] N. Zierler, Axioms for non-relativistic quantum mechanics, Pac. J. Math., t. 11, 1961, p. 1151-1169. Zbl0138.44503MR140972
  12. [12] G.M. Hardegree, Relative compatibility in conventional quantum mechanics, Found. Phys., t. 7, 1977, p. 495-510. MR446125
  13. [13] S. Pulmannová, Relative compatibility and joint distributions of observables, Found. Phys., t. 10, 1980, p. 641-653. MR659345
  14. [14] S.P. Gudder, Joint distributions of observables, Journ. of Math. and Mech., t. 18, 1968, p. 325-335. Zbl0241.60092MR232582
  15. [15] A. Dvurečenskij, S. Pulmannová, Connection between joint distributions and compatibility of observables, Rep. Math. Phys., to be published. Zbl0552.03041MR745430

Citations in EuDML Documents

top
  1. Pavel Pták, John David Maitland Wright, On the concreteness of quantum logics
  2. Pavel Pták, Categories of orthomodular posets
  3. Sylvia Pulmannová, Anatolij Dvurečenskij, Uncertainty principle and joint distributions of observables
  4. Oľga Nánásiová, Sylvia Pulmannová, Relative conditional expectations on a logic
  5. Ján Bán, Martingale convergence theorem in quantum logics
  6. Oľga Nánásiová, Ordering of observables and characterization of conditional expectation
  7. Anatolij Dvurečenskij, On joint distribution in quantum logics. I. Compatible observables
  8. Tatiana Lutterová, Sylvia Pulmannová, An individual ergodic theorem on the Hilbert space logic
  9. Anatolij Dvurečenskij, On two problems of quantum logics

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.