Superpositions of states and a representation theorem

Sylvia Pulmannovà

Annales de l'I.H.P. Physique théorique (1980)

  • Volume: 32, Issue: 4, page 351-360
  • ISSN: 0246-0211

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Pulmannovà, Sylvia. "Superpositions of states and a representation theorem." Annales de l'I.H.P. Physique théorique 32.4 (1980): 351-360. <http://eudml.org/doc/76082>.

@article{Pulmannovà1980,
author = {Pulmannovà, Sylvia},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {pure state; superposition principle},
language = {eng},
number = {4},
pages = {351-360},
publisher = {Gauthier-Villars},
title = {Superpositions of states and a representation theorem},
url = {http://eudml.org/doc/76082},
volume = {32},
year = {1980},
}

TY - JOUR
AU - Pulmannovà, Sylvia
TI - Superpositions of states and a representation theorem
JO - Annales de l'I.H.P. Physique théorique
PY - 1980
PB - Gauthier-Villars
VL - 32
IS - 4
SP - 351
EP - 360
LA - eng
KW - pure state; superposition principle
UR - http://eudml.org/doc/76082
ER -

References

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  1. [1] R. Baer, Linear algebra and projective geometry, Academic Press, New York, 1952 (Russian translation IL, Moscow, 1955). Zbl0049.38103MR52795
  2. [2] E.G. Beltrametti and G. Cassinelli, Logical and mathematical structures of quantum mechanics, Riv. Nuovo Cim., vol. 6, 1976, p. 321-404. MR438918
  3. [3] G. Birkhoff, Lattice theory, Amer. Math. Soc., Coll. Publ., New York, 1967. Zbl0153.02501
  4. [4] S.P. Gudder, Uniqueness and existence properties of bounded observables, Pacific. J. Math., vol. 19, 1966, p. 81-93. Zbl0149.23603MR201146
  5. [5] S.P. Gudder, A superposition principle in physics, J. Math. Phys., vol. 11, 1970, p. 1037-1040. Zbl0191.26901MR261868
  6. [6] S.P. Gudder, Projective representations of quantum logics, Int. J. Theoret. Phys., vol. 3, 1970, p. 99-108. MR416297
  7. [7] W. Guz, On the lattice structure of quantum logics, Ann. Inst. Henri Poincaré, vol. 28, 1978, p. 1-7. MR495046
  8. [8] F. Maeda and S. Maeda, Theory of symmetric lattices, Springer-Verlag, Berlin, 1970. Zbl0219.06002MR282889
  9. [9] S. Pulmannova, A superposition principle in quantum logics, Commun. Math. Phys., vol. 49, 1976, p. 47-51. MR431978
  10. [10] S. Pulmannova, The superposition principle and sectors in quantum logics, Int. J. Theoret. Phys., to be published. Zbl0491.03022
  11. [11] V.S. Varadarajan, Probability in physics and a theorem on simultaneous observability, Commun. Pure Appl. Math., vol. 15, 1962, p. 189-217. Zbl0109.44705MR163616
  12. [12] V.S. Varadarajan, Geometry of quantum theory, Van Nostrand, Princeton, N. Y., 1968. Zbl0155.56802MR471674

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