Abstract
Non-commutative measure theory serves as a mathematical basis to compare the classic 1 and the quantum mechanical probability scheme.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
Literature
E. G. Beltrametti, G. Cassinelli The Logic of Quantum MechanicsEncyclopedia of Mathematics and Its Applications 15 Addison-Wesley Publishing Company Reading Mass. 1981
Birkhoff, G. vonNeumann, J. 1936 The logic of quantum mechanics. Annals of mathematics 37 823-843
W. Feller An Introduction to Probability Theory and Its Applications Wiley § Sons New York 1950
B. de Finetti Theory of Probability Wiley § Sons, Inc. New York 1974
D. J. Foulis, C. H. Randall: ′Operational Statistics I′ 13 1972 1667-1675
S. P. Gudder Stochastic Methods in Quantum Mechanics North Holland New York 1979
J. M. Jauch Foundations of Quantum Mechanics Addison-Wesley Reading Mass. 1968
J. von Neumann: Mathematical Foundations of Quantum Mechanics, Princeton University Press, 1955.
C. Piron Foundations of Quantum Physics 1976
C. H. Randall, D. J. Foulis: ′A Mathematical Setting for Inductive Reasoning′ Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science III CA Hooker Reidel Publishing Company Dordrecht-Holland 1976 169-205
GT RüttimannLogikkalküle der Quantenphysik Duncker und Humblot Berlin 1977
G. T. Rüttimann: ′Non-commutative Measure Theory′. Habilitationsschrift, Universität Bern, 1980.
GT Rüttimann Expectation Functionals of Observables and Counters′. Reports on Mathematical Physics 21 213-222
V. S. VaradarajanGeometry of Quantum Theory Von Nortrand Princeton N.J. 1968
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Kluwer Academic Publishers
About this paper
Cite this paper
Rüttimann, G.T. (1989). Probability in Quantum Mechanics. In: Bitsakis, E.I., Nicolaides, C.A. (eds) The Concept of Probability. Fundamental Theories of Physics, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1175-8_8
Download citation
DOI: https://doi.org/10.1007/978-94-009-1175-8_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7023-2
Online ISBN: 978-94-009-1175-8
eBook Packages: Springer Book Archive