no. 4
Superpositions of states and a representation theorem
Annales de l'I.H.P. Physique théorique, Tome 32 (1980) no. 4, pp. 351-360. 
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     author = {Pulmannov\'a, Sylvia},
     title = {Superpositions of states and a representation theorem},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {351--360},
     publisher = {Gauthier-Villars},
     volume = {32},
     number = {4},
     year = {1980},
     zbl = {0453.03066},
     mrnumber = {594634},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1980__32_4_351_0/}
}
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Pulmannovà, Sylvia. Superpositions of states and a representation theorem. Annales de l'I.H.P. Physique théorique, Tome 32 (1980) no. 4, pp. 351-360. http://www.numdam.org/item/AIHPA_1980__32_4_351_0/

[1] R. Baer, Linear algebra and projective geometry, Academic Press, New York, 1952 (Russian translation IL, Moscow, 1955). | MR 52795 | Zbl 0049.38103

[2] E.G. Beltrametti and G. Cassinelli, Logical and mathematical structures of quantum mechanics, Riv. Nuovo Cim., vol. 6, 1976, p. 321-404. | MR 438918

[3] G. Birkhoff, Lattice theory, Amer. Math. Soc., Coll. Publ., New York, 1967. | Zbl 0153.02501

[4] S.P. Gudder, Uniqueness and existence properties of bounded observables, Pacific. J. Math., vol. 19, 1966, p. 81-93. | MR 201146 | Zbl 0149.23603

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

[6] S.P. Gudder, Projective representations of quantum logics, Int. J. Theoret. Phys., vol. 3, 1970, p. 99-108. | MR 416297

[7] W. Guz, On the lattice structure of quantum logics, Ann. Inst. Henri Poincaré, vol. 28, 1978, p. 1-7. | EuDML 75969 | Numdam | MR 495046

[8] F. Maeda and S. Maeda, Theory of symmetric lattices, Springer-Verlag, Berlin, 1970. | MR 282889 | Zbl 0219.06002

[9] S. Pulmannova, A superposition principle in quantum logics, Commun. Math. Phys., vol. 49, 1976, p. 47-51. | MR 431978

[10] S. Pulmannova, The superposition principle and sectors in quantum logics, Int. J. Theoret. Phys., to be published. | Zbl 0491.03022

[11] V.S. Varadarajan, Probability in physics and a theorem on simultaneous observability, Commun. Pure Appl. Math., vol. 15, 1962, p. 189-217. | MR 163616 | Zbl 0109.44705

[12] V.S. Varadarajan, Geometry of quantum theory, Van Nostrand, Princeton, N. Y., 1968. | MR 471674 | Zbl 0155.56802