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Alda, Václav
Remark on two papers concerning axiomatics of quantum mechanics. (English). Aplikace matematiky, vol. 25 (1980), issue 6, pp. 453-456
MSC: 46L60, 46N99, 81B05, 81P05 | MR 0596852 | Zbl 0469.46054 | DOI: 10.21136/AM.1980.103884
Keywords:
space of states; algebra of yes-no experiments
Summary:
By modifying a scheme (due to Gunson) it can be shown that the space generated by all irreducible states has a prehilbertian structure.
References:
[1] J. von Neumann: Mathematische Grundlagen der Quantenmechanik. Springer - Verlag, 1932. MR 0223138
[2] J. Gunson: On the Algebraic Structure Of Quantum Mechanics. Comm. Math. Phys., 6 (1967), 262-285. DOI 10.1007/BF01646019 | MR 0230525 | Zbl 0171.46804
[3] S. Gudder: On the Quantum Logic Approach to Quantum Mechanics. Comm. Math. Phys., 12 (1969), 1-15. DOI 10.1007/BF01646431 | MR 0250572 | Zbl 0169.56702
[4] J. C. T. Pool: Baer *-Semigroups and the Logic of Quantum. Mechanics. Comm. Math. Phys. 9 (1968), 118-141. DOI 10.1007/BF01645838 | MR 0229431
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