The lattice structure of quantum logics

Krystyna Bugajska; Slawomir Bugajski

Annales de l'I.H.P. Physique théorique (1973)

  • Volume: 19, Issue: 4, page 333-340
  • ISSN: 0246-0211

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Bugajska, Krystyna, and Bugajski, Slawomir. "The lattice structure of quantum logics." Annales de l'I.H.P. Physique théorique 19.4 (1973): 333-340. <http://eudml.org/doc/75790>.

@article{Bugajska1973,
author = {Bugajska, Krystyna, Bugajski, Slawomir},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {complete lattice; quantum logics},
language = {eng},
number = {4},
pages = {333-340},
publisher = {Gauthier-Villars},
title = {The lattice structure of quantum logics},
url = {http://eudml.org/doc/75790},
volume = {19},
year = {1973},
}

TY - JOUR
AU - Bugajska, Krystyna
AU - Bugajski, Slawomir
TI - The lattice structure of quantum logics
JO - Annales de l'I.H.P. Physique théorique
PY - 1973
PB - Gauthier-Villars
VL - 19
IS - 4
SP - 333
EP - 340
LA - eng
KW - complete lattice; quantum logics
UR - http://eudml.org/doc/75790
ER -

References

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  1. [1] G. Birkhoff, Lattice Theory, New York, 1948. Zbl0033.10103MR29876
  2. [2] K. Bugajska and S. Bugajski, On the axioms of quantum mechanics (Bull. Acad. Pol. Sc., Série des sc. math. astr. et phys., vol. 20, 1972, p. 231-234). MR307605
  3. [3] K. Bugajska and S. Bugajski, Description of physical systems (Reports onMath. Phys., vol. 4, 1973, p. 1-20). Zbl0266.70003MR317660
  4. [4] K. Bugajska and S. Bugajski, The projection postulate in quantum logics (Bull. Acad. Pol. Sc., Série des sc. math., astr. et phys., vol. 21, 1973, p. 873-877). MR329454
  5. [5] M. Bunge, Foundations of Physics, Springer Verlag, Berlin-Heibelberg-New York, 1967. 
  6. [6] S. Gudder, A superposition principle in physics (J. Math. Phys., vol. 11, 1970, p. 1037- 1040). Zbl0191.26901MR261868
  7. [7] J.M. Jauch and C. Piron, On the structure of quantal proposition systems (Helv. Phys. Acta, vol. 42, 1969, p. 848-849). Zbl0181.27603MR251966
  8. [8] G.W. Mackey, The mathematical foundations of quantum mechanics, W. A. Benjamin Inc. New York, Amsterdam, 1963. Zbl0114.44002
  9. [9] M.D. Maclaren, Notes on axiom for quantum mechanics, Argonne National Laboratory Report ANL-7065, 1965. 
  10. [10] M.J. Maczyński, Hilber space formalism of quantum mechanics without the Hilbert space axiom (Reports on Math. Phys., vol. 3, 1972, p. 209-219). MR321449
  11. [11] W. Ochs, On the foundations of quantal proposition systems (Z. Naturforsch., vol. 27a, 1972, p. 893-900). MR334703
  12. [12] J.C.T. Pool, Baer-semigroups and the logic of quantum mechanics (Commun. math. Phys., vol. 9, 1968, p. 118-141). Zbl0159.59602MR229431
  13. [13] V.S. Varadarajan, Geometry of quantum theory, vol. I, Van Nostrand Co, Princeton, N. J., 1968. Zbl0155.56802MR471674

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