Uncertainty principle and joint distributions of observables

Sylvia Pulmannová; Anatolij Dvurečenskij

Annales de l'I.H.P. Physique théorique (1985)

  • Volume: 42, Issue: 3, page 253-265
  • ISSN: 0246-0211

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Pulmannová, Sylvia, and Dvurečenskij, Anatolij. "Uncertainty principle and joint distributions of observables." Annales de l'I.H.P. Physique théorique 42.3 (1985): 253-265. <http://eudml.org/doc/76281>.

@article{Pulmannová1985,
author = {Pulmannová, Sylvia, Dvurečenskij, Anatolij},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {experimentally verifiable propositions; Heisenberg uncertainty relations; quantum logics},
language = {eng},
number = {3},
pages = {253-265},
publisher = {Gauthier-Villars},
title = {Uncertainty principle and joint distributions of observables},
url = {http://eudml.org/doc/76281},
volume = {42},
year = {1985},
}

TY - JOUR
AU - Pulmannová, Sylvia
AU - Dvurečenskij, Anatolij
TI - Uncertainty principle and joint distributions of observables
JO - Annales de l'I.H.P. Physique théorique
PY - 1985
PB - Gauthier-Villars
VL - 42
IS - 3
SP - 253
EP - 265
LA - eng
KW - experimentally verifiable propositions; Heisenberg uncertainty relations; quantum logics
UR - http://eudml.org/doc/76281
ER -

References

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  2. [2] M.J. Maczyński, A remark on Mackey's axiom system for quantum mechanics, Bull. Acad. Polon. Sci., t. 15, 1967, p. 583-587. Zbl0203.00801MR224343
  3. [3] V.S. Varadarajan, Geometry of quantum theory, Van Nostrand, Princeton, N. Y., 1968. Zbl0155.56802MR471674
  4. [4] S.P. Gudder, Joint distributions of observables, Journ. of Math. and Mech., t. 18, 1968, p. 325-335. Zbl0241.60092MR232582
  5. [5] J.M. Jauch, The quantum probability calculus, in: Logic and probability in quantum mechanics, P. Suppes ed., p. 123-146, Reidel, Dordrecht, 1976. Zbl0339.60001MR672642
  6. [6] S. Pulmannová, Relative compatibility and joint distributions of observables, Found. Phys., t. 10, 1980, p. 641-653. MR659345
  7. [7] A. Dvurečenskij, S. Pulmannová, Connection between joint distributions and compatibility of observables. Rep. Math. Phys., t. 19, 1984, p. 349-359. Zbl0552.03041MR745430
  8. [8] A. Dvurečenskij, S. Pulmannová, On joint distributions of observables, Math. Slovaca, t. 32, 1982, p. 155-166. Zbl0495.60007MR658249
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  10. [10] S. Pulmannova, Commutators in orthomodular lattices, submitted for publication. Zbl0591.06011
  11. [11] S. Bugajski, P. Lahti, Fundamental principles of quantum theory, Int. Journ. Theoret. Phys., t. 19, 1980, p. 499-514. MR584835
  12. [12] P. Lahti, Uncertainty principle and complementarity in axiomatic quantum mechanics, Rep. Math. Phys., t. 17, 1980, p. 99-110. MR630263
  13. [13] P. Lahti, Uncertainty and complementarity in axiomatic quantum mechanics, Int. Journ. Theor. Phys., t. 19, 1980, p. 789-842. MR607572
  14. [14] P. Lahti, Characterization of quantum logics, Int. Journ. Theor. Phys., t. 19, 1980, p. 905-923. Zbl0473.03055MR608173
  15. [15] S.P. Gudder, Spectral methods for a generalized probability theory, Trans. Amer. Math. Soc., t. 119, 1965, p. 428-442. Zbl0161.46105MR183657
  16. [16] P. Suppes, Probability concepts in quantum mechanics, Philosophy of Science, t. 22, 1961, p. 378-389. 
  17. [17] S.P. Gudder, Some unsolved problems in quantum logics, in: Mathematical foundations of quantum theory, A. R. Marlow ed., p. 87-103, Academic Press, New York, 1978. MR495813
  18. [18] A. Dvurečenskij, On two problems of quantum logics, Math. Slovaca, in press. Zbl0616.03038MR866626

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