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Pulmannova, Sylvia

A remark on the comparison of Mackey and Segal models. (English) Zbl 0426.60098

Math. Slovaca 28, 297-304 (1978).
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MSC:

60K99 Special processes
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
81P20 Stochastic mechanics (including stochastic electrodynamics)
82B10 Quantum equilibrium statistical mechanics (general)

Keywords:

quantum mechanics; imbedding of the Segal model into a Mackey model

Citations:

Zbl 0268.46021; Zbl 0114.440; Zbl 0034.066
PDFBibTeX XMLCite
\textit{S. Pulmannova}, Math. Slovaca 28, 297--304 (1978; Zbl 0426.60098)
Full Text: EuDML

References:

[1] GUDDER S. P., BOYCE S.: A comparison of the Mackey and Segal models for quantum mechanics. Int. J. Theoret. Phys., 3, 1970, 7-21.
[2] PLYMEN R.: C* - Algebras and Mackey’s axioms. Commun. math. Phys., 8, 1969, 132-146. · Zbl 0155.45902 · doi:10.1007/BF01645801
[3] DAVIES E. B.: On the Borel structure of C*-algebras. Commun. math. Phys. 8, 1968, 147-163. · Zbl 0153.44701 · doi:10.1007/BF01645802
[4] ROBERTS J. E., ROOEPSTORFF G.: Some basic concepts of algebraic quantum theory. Commun. math. Phys. 11, 1969, 321-328. · Zbl 0167.55806
[5] GUDDER S. P.: Uniqueness and existence properties of bounded observables. Pacific J. Math., 19, 1966, 81-93. · Zbl 0149.23603 · doi:10.2140/pjm.1966.19.81
[6] DELIYANNIS P. C.: Theory of observables. J. Math. Phys., 10, 1969, 2114-2127. · Zbl 0194.28901 · doi:10.1063/1.1664810
[7] DELIYANNIS P. C.: Imbedding of Segal systems. J. Math. Phys., 16, 1975, 163-170.
[8] MACZINŚKI M. J.: On a functional representation of the lattice of projections on a Hilbert space. Studia mathem., XLVII, 1973, 253-259.
[9] MACKEY G. W.: Mathematical Foundations of Quantum Mechanics. New York 1963. · Zbl 0114.44002
[10] MACZINŚKI M. J.: A remark on Mackeyś axiom system for quantum mechanics. Bull. Acad. Polon. Sci. XV, 1967, 583-587. · Zbl 0203.00801
[11] SEGAL I. E.: Postulates for general quantum mechanics. Ann. of Math. 48, 1947, 930-948. · Zbl 0034.06602 · doi:10.2307/1969387
[12] SHERMAN S.: On Segaľs s postulates for general quantum mechanics. Ann. of Math. 64, 1956, 593-601. · Zbl 0075.21802 · doi:10.2307/1969605
[13] EMCH G. G.: Allgebraic Methods in Statistical Mechanics and Quantum Field Theory. New York 1972. · Zbl 0235.46085
[14] ZIERLER N.: Axioms for nonrelativistic quantum mechanics. Pac. J. Math. 11, 1961, 1151-1169. · Zbl 0138.44503 · doi:10.2140/pjm.1961.11.1151
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