Abstract
Several attempts have been made to provide an axiomatic basis for the statistical transformation theory in quantum physics in the form of simple general principles. Thus, in his well-known book on Quantum Mechanics Dirac uses the superposition principle as a fundamental principle. This principle permits indeed to determine many characteristic features of the mathematical formalism. It does not, however, suffice to determine even the algebra of the state calculus, as Dirac has noticed himself. From the present point of view the superposition principle may be looked upon as an ingenious but rather artificial formulation of complementarity.
Translated from‘Zur Begründung der Statistischen Transformationstheorie der Quantenphysik’, Sitz. Ber. Berl. Akad. Wiss., Phys.-Math. Kl. 27 (1936), 90–113.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Notes
J. von Neumann,‘Wahrscheinlichkeitstheoretischer Aufbau der Quantenmechanik’, Goett. Nachr. (1928), 245
Mathematische Grundlagen der Quantenmechanik, Berlin 1932, Kap. IV.
M. Born and P. Jordan, Elementare Quantenmechanik, Berlin 1930, 6. Kap.
H. Reichenbach,‘Axiomatik der Wahrscheinlichkeitsrechnung’, Math. Z. 34 (1932), 568
Wahrscheinlichkeitslehre, Leiden 1935.
A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47 (1935), 777.
E. Schroedinger, Naturwiss. 23 (1935), 807, 823, 844.
P. Suppes,‘Probability Concepts in Quantum Mechanics’, Phil, of Sc. 28 (1961), 378–389
‘Logics Appropriate to Empirical Theories’, in The Theory of Models (ed. by J. W. Addison, L. Henkin and A. Tarski), Amsterdam 1965, p. 364–375
’Une logique non-classique de la mechanique quantique’, Synthese 10 (1966), 74–85.
F. Kamber,‘Die Struktur des Aussagenkalkuels in einer physikalischen Theorie’, Nachr. Akad. Wiss. Goettingen 10 (1964), 103–124.
H. Putnam,‘Is Logic Empirical?’ in Boston Studies in the Philosophy of Science, vol. V (ed. by R. S. Cohen and M. W. Wartofsky), Dordrecht 1969, pp. 216–241
Rights and permissions
Copyright information
© 1972 D. Reidel Publishing Company, Dordrecht, Holland
About this chapter
Cite this chapter
Strauss, M. (1972). The Logic of Complementarity and the Foundation of Quantum Theory. In: Modern Physics and its Philosophy. Synthese Library, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2893-6_16
Download citation
DOI: https://doi.org/10.1007/978-94-010-2893-6_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-2895-0
Online ISBN: 978-94-010-2893-6
eBook Packages: Springer Book Archive