A Characterization of the State Space of Quantum Mechanics

Huzihiro Araki

Recherche Coopérative sur Programme n°25 (1980)

  • Volume: 28, page 59-67

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Araki, Huzihiro. "A Characterization of the State Space of Quantum Mechanics." Recherche Coopérative sur Programme n°25 28 (1980): 59-67. <http://eudml.org/doc/274147>.

@article{Araki1980,
author = {Araki, Huzihiro},
journal = {Recherche Coopérative sur Programme n°25},
keywords = {state space; type I Jordan algebra; filtering projections; symmetry property of the transition probability},
language = {eng},
pages = {59-67},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {A Characterization of the State Space of Quantum Mechanics},
url = {http://eudml.org/doc/274147},
volume = {28},
year = {1980},
}

TY - JOUR
AU - Araki, Huzihiro
TI - A Characterization of the State Space of Quantum Mechanics
JO - Recherche Coopérative sur Programme n°25
PY - 1980
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 28
SP - 59
EP - 67
LA - eng
KW - state space; type I Jordan algebra; filtering projections; symmetry property of the transition probability
UR - http://eudml.org/doc/274147
ER -

References

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  1. [1] E. B. Vinberg, Trans. Moscow Math. Soc.12 (1963), 340-403 ; Zbl0138.43301MR3235787
  2. E. B. Vinberg, Trans. Moscow Math. Soc.14 (1965), 63-93. Zbl0311.17008
  3. [2] P. Jordan, J. von Neumann and E. P. Wigner, Ann. of Math.35 (1934), 29-64. Zbl0008.42103MR1503141JFM60.0902.02
  4. [3] A. Connes, Ann. Inst. Fourier, Grenoble, 24(1974), 121-155. Zbl0287.46078MR377533
  5. [4] J. Bellissard and B. Iochum, Ann. Inst. Fourier, Grenoble, 28 (1978), 27-67. Zbl0365.46040MR500916
  6. [5] E. M. Alfsen and F. W. Shultz, Acta Math.140 (1978), 155-165. Zbl0397.46066MR472949
  7. [6] H. Araki, On a characterization of the state space of quantum mechanics. To appear in Commun Math. Phys. Zbl0443.46046MR581566

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