Abstract
This note seeks to survey crucial issues and to pinpoint difficulties in the current controversy over the meaning of measurement [2] and its proper mathematical description in quantum physics. It deals primarily with those philosophic and mathematical considerations which arise from the statistical nature of the results of physical measurements. The first part reviews and aims to clarify matters of more or less general interest; the second and third are devoted to some specific recent results concerning joint probabilities and phase-space distribution functions.
Work supported by the United States Air Force Office of Scientific Research under Grant AFOSR 843/65.
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References
Albertsen, J.: Phys. Rev. 129, 940 (1963).
Araki, H., and M. Yanasee: Phys. Rev. 120, 622 (1961).
Durand, III. L.: Phü. Sci. 27, (2) (1960).
Heisenberg, W.: La nature dans la physique contemporaine. Paris: Gallimard 1962;
Heisenberg, W.: Trad, de „Das Naturbild der heutigen Physik“. Hamburg: Rowolt 1955.
Jauch, J. M.: Helv. Phys. Acta 33, 711 (1960).
Jauch, J. M., and G. Piron: Helv. Phys. Acta 36, 827 (1963).
Lande, A.: Phys. Rev. 108, 891 (1957).
Schilpp, P. (ed.): Albert Einstein: Philosopher-Scientist. Evanston: Library of Living Philosophers 1949
Shimony, A.: Am. J. Phys. 31, 755 (1963).
Tisza, L.: Revs. Mod. Phys. 35, 151 (1963).
Wigner, E. P.: Am. J. Phys. 31, 6 (1963).
An excellent, fully documented historical treatment of views here discussed is found in Max Jammer, The conceptual development of the quantum theory. New York: McGraw-Hill Book Co. 1966.
Wigner, E. P.: The contemporary scene is well surveyed by Bernard d’Espagnat, Conceptions de la Physique Contemporaine. Paris: Herman 1965.
Heisenberg, W.: Physics and philosophy. Harper 1958.
Margenau, H.: The nature of physical reality, p. 171 et seq. New York: McGraw-Hill Book Co. 1950.
Margenau, H.: Phil. Sci. 30, 1, 138 (1963).
Margenau, H.: The nature of physical reality. Ref. 3, chap. 13. Further discussion of the objectivity problem may be found. In: H. Margenau and J. Park: Objectivity in quantum mechanics. In: M. Bunge, ed.: Delaware Seminar in the Foundations of Physics. New York: Springer 1967.
Jeffreys, H.: Scientific inference. New York: McMillan 1931.
Margenau, H.: Ann. of Phys. 23, 469 (1963).
Margenau, H., and R. N. Hill: Progr. Theoret. Phys. (Kyoto) 26, 722 (1961).
Wigner, E.: Phys. Rev. 40, 749 (1932).
Cohen, L.: J. Math. Phys. 7, 781 (1966).
Cohen, L.: Thesis Yale University 1966, University Microfilm, Ann Arbor, Michigan.
Groenewold, H. J.: Physica 12, 405 (1946).
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Margenau, H., Cohen, L. (1967). Probabilities in Quantum Mechanics. In: Bunge, M. (eds) Quantum Theory and Reality. Studies in the Foundations Methodology and Philosophy of Science, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88026-1_5
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DOI: https://doi.org/10.1007/978-3-642-88026-1_5
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