Superpositions of states and a representation theorem
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 32 (1980) no. 4, pp. 351-360. 
@article{AIHPA_1980__32_4_351_0,
     author = {Pulmannov\`a, Sylvia},
     title = {Superpositions of states and a representation theorem},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
     pages = {351--360},
     publisher = {Gauthier-Villars},
     volume = {32},
     number = {4},
     year = {1980},
     mrnumber = {594634},
     zbl = {0453.03066},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1980__32_4_351_0/}
}
TY  - JOUR
AU  - Pulmannovà, Sylvia
TI  - Superpositions of states and a representation theorem
JO  - Annales de l'institut Henri Poincaré. Section A, Physique Théorique
PY  - 1980
SP  - 351
EP  - 360
VL  - 32
IS  - 4
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1980__32_4_351_0/
LA  - en
ID  - AIHPA_1980__32_4_351_0
ER  - 
%0 Journal Article
%A Pulmannovà, Sylvia
%T Superpositions of states and a representation theorem
%J Annales de l'institut Henri Poincaré. Section A, Physique Théorique
%D 1980
%P 351-360
%V 32
%N 4
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPA_1980__32_4_351_0/
%G en
%F AIHPA_1980__32_4_351_0
Pulmannovà, Sylvia. Superpositions of states and a representation theorem. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 32 (1980) no. 4, pp. 351-360. http://archive.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 | Zbl

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

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

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

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

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

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

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

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

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

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

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