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Quantum Probability and Quantum Potential Approach to Quantum Mechanics

  • Conference paper
The Concept of Probability

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 24))

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Abstract

Starting from a classical Hamilton-Jacobi theory the Schrödinger equation of non relativistic quantum mechanics is derived by introducing an averaging procedure over the free parameters of the classical formalism. The conceptual implications, the relation to the causal interpretation and possible extensions of the formalism are discussed.

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References

  1. H. Goldstein, Classical Mechanics Addison-Wesley Cambridge 1956 9

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  2. D. Bohm, Phys. Rev. 85 1952 166 ; 181

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  3. See e.g. H. Freistadt, Suppl. Nuov. Cim. V, Sec. X (1957) 1.

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  4. J. B. Keller, Phys. Rev., 89 1953 1040

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  5. See e.g. F.J. Belifante, A survey of hidden variable theories, Pergamon Press 1973, Part II, App. G.

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  6. A. Kyprianidis : Hamilton-Jacobi theory and quantum mechanics, to appear in Proceedings of Conf. “Problems in quantum physics”, Gdansk, 1987.

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  7. A. Kyprianidis : Hamilton-Jacobi theory, classical phase-space and quantum mechanics, IHP Preprint, to be published.

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  8. A. Kyprianidis : Hamilton-Jacobi theory, classical phase-space and quantum mechanics, IHP Preprint, to be published.

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Author information

Authors and Affiliations

  1. Laboratoire de Physique Théorique, Institut Henri Poincaré, 11, rue Pierre et Marie Curie, 75231, Paris Cedex 05, France

    Anastasios Kyprianidis

Authors
  1. Anastasios Kyprianidis
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Editor information

Editors and Affiliations

  1. University of Ioannina, Greece

    E. I. Bitsakis

  2. National Hellenic Research Foundation and National Technical University, Athens, Greece

    C. A. Nicolaides

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© 1989 Kluwer Academic Publishers

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Kyprianidis, A. (1989). Quantum Probability and Quantum Potential Approach to 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_10

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  • DOI: https://doi.org/10.1007/978-94-009-1175-8_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7023-2

  • Online ISBN: 978-94-009-1175-8

  • eBook Packages: Springer Book Archive

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