Classes équationnelles de treillis orthomodulaires liées aux états

René Mayet

Publications du Département de mathématiques (Lyon) (1983)

  • Volume: 2/A, Issue: 2A, page 1-39
  • ISSN: 0076-1656

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Mayet, René. "Classes équationnelles de treillis orthomodulaires liées aux états." Publications du Département de mathématiques (Lyon) 2/A.2A (1983): 1-39. <http://eudml.org/doc/273511>.

@article{Mayet1983,
author = {Mayet, René},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {state space; orthomodular lattices},
language = {fre},
number = {2A},
pages = {1-39},
publisher = {Université Claude Bernard - Lyon 1},
title = {Classes équationnelles de treillis orthomodulaires liées aux états},
url = {http://eudml.org/doc/273511},
volume = {2/A},
year = {1983},
}

TY - JOUR
AU - Mayet, René
TI - Classes équationnelles de treillis orthomodulaires liées aux états
JO - Publications du Département de mathématiques (Lyon)
PY - 1983
PB - Université Claude Bernard - Lyon 1
VL - 2/A
IS - 2A
SP - 1
EP - 39
LA - fre
KW - state space; orthomodular lattices
UR - http://eudml.org/doc/273511
ER -

References

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  1. [1] G. Beltrametti et G. Cassinelli, The logic of Quantum MechanicsAddison-Wesley Publishing Company (1981). Zbl0504.03026MR635780
  2. [2] G. Bruns et G. Kalmbach, Varieties of orthomodular lattices, Canadian J. Math.XXIII (1971), 802-810. Zbl0278.06003MR289374
  3. [3] G. Bruns et G. Kalmbach, Varieties of orthomodular lattices (II), Canadian J. Math.XXIV (1972), 328-337. Zbl0278.06004MR294194
  4. [4] G. Chevalier, Congruences d'un treillis orthomodulaire, Thèse de Doctorat de 3e cycle, Université Cl. Bernard, LYON (1981). Zbl0572.20050
  5. [5] M. Dichtl, Astroids and pasting, à paraître dans Algebra Universalis. Zbl0546.06007
  6. [6] R. Godowski, Varieties of orthomodular lattices with a strongly full set of states, Demonstratio MathematicaXIV, n° 3 (1981) 725-732. Zbl0483.06007MR663122
  7. [7] R. Godowski, States on orthomodular lattices, Demonstratio MathematicaXV, n° 3 (1982), 817-822. Zbl0522.06010MR693543
  8. [8] R. Godowski et R.J. Greechie, Some equations related to states on orthomodular lattices (a paraître dans Demonstratio Mathematica). Zbl0553.06013
  9. [9] R.J. Greechie, Orthomodular lattices admitting no states, Journal of Combinatorial theory10 (1971), 119-132. Zbl0219.06007MR274355
  10. [10] G. Kalmbach, Orthomodular lattices, à paraître, Academic Press, New-York. Zbl0512.06011MR716496
  11. [11] G.W. Mackey, Mathematical Foundations of Quantum Mechanics, W.A. Benjamin, New-York (1977). Zbl0114.44002
  12. [12] S. Maeda, Théorie des treillis et logique quantique (en japonais). Maki-Shoton, Tokyo (1980). 
  13. [13] C. Piron, Foundations of Quantum Physics, Benjamin Inc. Reading (1976). Zbl0333.46050MR673578
  14. [14] G.T. Ruttiman, Jauch-Piron states, J. of Math. Physics, vol. 18, n° 2 (1977), 189-193. Zbl0388.03025MR426647
  15. [15] J. Von Neumann, Mathematical Foundations of Quantum Mechanics, Princeton University Press, 1955. Zbl0064.21503MR66944

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