On the lattice structure of quantum logics
Guz, Wawrzyniec
Annales de l'I.H.P. Physique théorique, Tome 29 (1978), p. 1-7 / Harvested from Numdam
Publié le : 1978-01-01
@article{AIHPA_1978__28_1_1_0,
     author = {Guz, Wawrzyniec},
     title = {On the lattice structure of quantum logics},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {29},
     year = {1978},
     pages = {1-7},
     mrnumber = {495046},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1978__28_1_1_0}
}
Guz, Wawrzyniec. On the lattice structure of quantum logics. Annales de l'I.H.P. Physique théorique, Tome 29 (1978) pp. 1-7. http://gdmltest.u-ga.fr/item/AIHPA_1978__28_1_1_0/

[1] G. Birkhoff, Lattice theory, Amer. Math. Soc. Coll. Publ., Vol. 25, New York, 1948. | MR 29876 | Zbl 0033.10103

[2] K. Bugajska and S. Bugajski, The lattice structure of quantum logics. Ann. Inst. Henri Poincaré, vol. 19, 1973, p. 333-340. | Numdam | MR 359556

[3] S.P. Gudder, A superposition principle in physics. J. Math. Phys., vol. 11, 1970, p. 1037-1040. | MR 261868 | Zbl 0191.26901

[4] W. Guz, A modification of the axiom system of quantum mechanics. Reports Math. Phys., vol. 7, 1975, p. 313-320. | MR 495814 | Zbl 0326.70004

[5] G.W. Mackey, The mathematical foundations of quantum mechanics, W. A. Benjamin, Inc., New York, 1963. | Zbl 0114.44002

[6] M.D. Mac Laren, Notes on axioms for quantum mechanics, Argonne Nat. Lab. Report ANL-7065, 1965.

[7] M.J. Maczynski, Boolean properties of observables in axiomatic quantum mechanics. Reports Math. Phys., vol. 2, 1971, p. 135-150. | MR 287809 | Zbl 0222.02071

[8] J.C.T. Pool, Semimodularity and the logic of quantum mechanics. Commun. math. Phys., vol. 9, 1968, p. 212-228. | MR 233558 | Zbl 0165.28902

[9] N. Zierler, Axioms for non-relativistic quantum mechanics. Pacific J. Math., vol. 11, 1961, p. 1151-1169. | MR 140972 | Zbl 0138.44503