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From the main equation to the Klein-Gordon equation

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Abstract

The purpose of this paper is to bring out some connections between the work of Isaacs and physics. The first five sections are devoted to classical dynamics. The theories of Hamilton and Jacobi are revisited via the geometrical approach to optimal control and de Broglie's ideas. The other sections contain a stochastic-type generalization, leading to the Klein-Gordon equation of relativistic wave mechanics.

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Authors and Affiliations

  1. Laboratoire d'Automatique Théorique, University of Paris VII, Paris, France

    A. Blaquière (Professor of Theoretical Automatics)

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  1. A. Blaquière
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Communicated by P. L. Yu

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Blaquière, A. From the main equation to the Klein-Gordon equation. J Optim Theory Appl 27, 71–87 (1979). https://doi.org/10.1007/BF00933326

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  • DOI: https://doi.org/10.1007/BF00933326

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