On the lattice structure of quantum logics

Wawrzyniec Guz

Annales de l'I.H.P. Physique théorique (1978)

  • Volume: 28, Issue: 1, page 1-7
  • ISSN: 0246-0211

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Guz, Wawrzyniec. "On the lattice structure of quantum logics." Annales de l'I.H.P. Physique théorique 28.1 (1978): 1-7. <http://eudml.org/doc/75969>.

@article{Guz1978,
author = {Guz, Wawrzyniec},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Quantum Logics; Orthomodular Sigma-Poset},
language = {eng},
number = {1},
pages = {1-7},
publisher = {Gauthier-Villars},
title = {On the lattice structure of quantum logics},
url = {http://eudml.org/doc/75969},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Guz, Wawrzyniec
TI - On the lattice structure of quantum logics
JO - Annales de l'I.H.P. Physique théorique
PY - 1978
PB - Gauthier-Villars
VL - 28
IS - 1
SP - 1
EP - 7
LA - eng
KW - Quantum Logics; Orthomodular Sigma-Poset
UR - http://eudml.org/doc/75969
ER -

References

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  1. [1] G. Birkhoff, Lattice theory, Amer. Math. Soc. Coll. Publ., Vol. 25, New York, 1948. Zbl0033.10103MR29876
  2. [2] K. Bugajska and S. Bugajski, The lattice structure of quantum logics. Ann. Inst. Henri Poincaré, vol. 19, 1973, p. 333-340. Zbl1216.81019MR359556
  3. [3] S.P. Gudder, A superposition principle in physics. J. Math. Phys., vol. 11, 1970, p. 1037-1040. Zbl0191.26901MR261868
  4. [4] W. Guz, A modification of the axiom system of quantum mechanics. Reports Math. Phys., vol. 7, 1975, p. 313-320. Zbl0326.70004MR495814
  5. [5] G.W. Mackey, The mathematical foundations of quantum mechanics, W. A. Benjamin, Inc., New York, 1963. Zbl0114.44002
  6. [6] M.D. Mac Laren, Notes on axioms for quantum mechanics, Argonne Nat. Lab. Report ANL-7065, 1965. 
  7. [7] M.J. Maczynski, Boolean properties of observables in axiomatic quantum mechanics. Reports Math. Phys., vol. 2, 1971, p. 135-150. Zbl0222.02071MR287809
  8. [8] J.C.T. Pool, Semimodularity and the logic of quantum mechanics. Commun. math. Phys., vol. 9, 1968, p. 212-228. Zbl0165.28902MR233558
  9. [9] N. Zierler, Axioms for non-relativistic quantum mechanics. Pacific J. Math., vol. 11, 1961, p. 1151-1169. Zbl0138.44503MR140972

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