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Part of the book series: Mathematical Physics and Applied Mathematics ((MPAM,volume 1))

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Abstract

In his paper of 1948 [1] and in his book of 1956 [2] Louis de Broglie stressed that the ordinary relationship between joint probability and conditional probability no longer holds in wave mechanics, and that the difference lies above all in the definition of the joint probability of two physical quantities which are not simultaneously measurable. What is still more important, he showed that the double solution theory is not subject to this difficulty. He is certainly right in emphasizing this problem of joint probability and conditional probability, since it is the centre of the curious features of wave mechanics, which should be dealt with first if we wish to attempt an improvement of its ordinary interpretation.

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Translated from the French by N. Corcoran.

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Bibliography

  1. de Broglie, Louis, Revue Scientifique (1948), 259.

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  2. de Broglie, Louis, Une tentative d’interprétation causale et non-linéaire de la mécanique ondulatoire, Gauthièr-Villars, Paris, 1956.

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  3. Watanabé, Satosi, Knowing and Guessing, Wiley, New York, 1969.

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M. Flato Z. Maric A. Milojevic D. Sternheimer J. P. Vigier

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© 1976 D. Reidel Publishing Company, Dordrecht, Holland

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Watanabé, S. (1976). Conditional Probability in Wave Mechanics. In: Flato, M., Maric, Z., Milojevic, A., Sternheimer, D., Vigier, J.P. (eds) Quantum Mechanics, Determinism, Causality, and Particles. Mathematical Physics and Applied Mathematics, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1440-3_11

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  • DOI: https://doi.org/10.1007/978-94-010-1440-3_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1442-7

  • Online ISBN: 978-94-010-1440-3

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