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Mielnik, B.

Theory of filters. (English) Zbl 0182.59601

Commun. Math. Phys. 15, 1-46 (1969).
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quantum theory
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\textit{B. Mielnik}, Commun. Math. Phys. 15, 1--46 (1969; Zbl 0182.59601)
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References:

[1] Bergman, P. G.: The general theory of relativity – case study in the unfolding of of new physical concepts. Problems in the Philosophy of Science, p. 249. Amsterdam: North Holland Publ. Co. 1968.
[2] Birkhoff, G., and J. von Neumann: Ann. Math.37, 823 (1936). · Zbl 0015.14603
[3] Dähn, G.: Attempt of an axiomatic foundation of quantum mechanics and more general theories (IV). Commun. Math. Phys.9, 192 (1968). · Zbl 0164.29502
[4] Finkelstein, D.: The logic of quantum physics, N. Y. Acad. Sci.1963, 621; · Zbl 0111.42305
[5] – The physics of logic. Preprint IC/68/35 (Triest, 1968).
[6] Finkelstein, D., J. M. Jauch, S. Schimonovich, and D. Speiser: Foundations of quaternionic quantum mechanics. J. Math. Phys.3, 207 (1962); – Some physical consequences of generalQ-covariance. J. Math. Phys.4, 788 (1963).
[7] Gunson, J.: Structure of quantum mechanics. Commun. Math. Phys.6, 262 (1967). · Zbl 0171.46804
[8] Haag, R.: Lectures on axiomatic quantum mechanics. 1960 (unpublished).
[9] Haag, R., and D. Kastler: An algebraic approach to quantum field theory. J. Math. Phys.5, 848 (1964). · Zbl 0139.46003
[10] Jordan, P.: Über das Verhältnis der Theorie der Elementarlänge zur Quantentheorie. Commun. Math. Phys.9, 279 (1967). · Zbl 0157.31902
[11] Ludwig, G.: Versuch einer axiomatischen Grundlegung der Quantenmechanik und allgemeinerer physikalischer Theorien. Z. Physik181, 233 (1964); · Zbl 0143.22904
[12] —- Attempt of an axiomatic foundation of quantum mechanics and more general theories (II). Commun. Math. Phys.4, 331 (1967); (III) Commun. Math. Phys.9, 1 (1968). · Zbl 0148.23702
[13] Landsberg, P. T.: A proof of Temple’s laws of transition. Ann. Phys.6, 14 (1954). · Zbl 0055.21102
[14] Mackey, G. W.: The mathematics foundations of quantum mechanics. New York: W. A. Benjamin, Inc. 1963. · Zbl 0114.44002
[15] Mielnik, B.: Geometry of quantum states. Commun. Math. Phys.9, 55 (1968). · Zbl 0164.29501
[16] Piron, C.: Axiomatique quantique. Helv. Phys. Acta37, 439 (1964). · Zbl 0141.23204
[17] Plymen, R. J.: A modification of Piron’s axioms. Helv. Phys. Acta41, 69 (1968).
[18] Pool, J. C. T.: Baer *-semigroup and the logic of quantum mechanics. Commun. Math. Phys.9, 118 (1968); · Zbl 0159.59602
[19] —- Semimodularity and the logic of quantum mechanics. Commun. Math. Phys.9, 212 (1968). · Zbl 0165.28902
[20] Śniatycki, J.: On the geometric structure of classical field theory in Lagrangian formulation. Preprint, Dept. of Appl. Math. and Comp. Sc. Sheffield University (1969). · Zbl 0197.18501
[21] Trautman, A.: Noether equations and conservation laws. Commun. Math. Phys.6, 248 (1967). · Zbl 0172.27803
[22] Temple, G.: The general principles of quantum theory. London: Methuen 1934. · JFM 60.1460.03
[23] Tulczyjew, W.: Seminar on phase space theory. Warsaw, 1968 (unpublished).
[24] Woronowicz, St.: Lectures on the axiomatic quantum field theory. Warsaw, 1968 (to be published).
[25] Zierler, N., and M. Schlessinger: Boolean embeddings of orthomodular sets and quantum logic. Duke Math. J.32, 251 (1965). · Zbl 0171.25403
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