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Pool, J. C. T.

Semimodularity and the logic of quantum mechanics. (English) Zbl 0165.28902

Commun. Math. Phys. 9, 212-228 (1968).
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quantum theory
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\textit{J. C. T. Pool}, Commun. Math. Phys. 9, 212--228 (1968; Zbl 0165.28902)
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[12] – Notes on axioms for quantum mechanics. Argonne National Laboratory Report, ANL-7065 (1965).
[13] Piron, C.: Axiomatique quantique. Helv. Phys. Acta37, 439–468 (1964). · Zbl 0141.23204
[14] Pool, J. C. T.: Simultaneous observability and the logic of quantum mechanics. Thesis, State University of Iowa, Department of Physics Report SUI-63-17 (1963).
[15] —- Baer *-semigroups and the logic of quantum mechanics, Commun. Math. Phys.9, 118–141 (1968). · Zbl 0159.59602 · doi:10.1007/BF01645838
[16] Schatten, R.: Norm ideals of completely continuous operators. Berlin-Göttingen-Heidelberg: Springer 1960. · Zbl 0090.09402
[17] Schreiner, E. A.: Modular pairs in orthomodular lattices. Pacific J. Math.19, 519–528 (1966). · Zbl 0148.25605
[18] Topping, D. M.: Asymptoticity and semimodularity in projection lattices. Pacific J. Math.20, 317–325 (1967). · Zbl 0166.11403
[19] von Neumann, J.: Wahrscheinlichkeitstheoretischer Aufbau der Quantenmechanik. Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II, 245–272 (1927). · JFM 53.0849.01
[20] —- Mathematical foundations of quantum mechanics. Trans. by R. T. Beyer. Princeton: Princeton Univ. Press. 1955.
[21] Zierler, N.: Axioms for non-relativistic quantum mechanics. Pacific J. Math.11, 1151–1169 (1761). · Zbl 0138.44503
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