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Identical motion in relativistic quantum and classical mechanics

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Abstract

The Klein-Gordon equation for the stationary state of a charged particle in a spherically symmetric scalar field is partitioned into a continuity equation and an equation similar to the Hamilton-Jacobi equation. There exists a class of potentials for which the Hamilton-Jacobi equation is exactly obtained and examples of these potentials are given. The partitionAnsatz is then applied to the Dirac equation, where an exact partition into a continuity equation and a Hamilton-Jacobi equation is obtained.

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Authors and Affiliations

  1. Bard College, Annandale-on-Hudson, New York

    Stephen Breen & Peter D. Skiff

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  1. Stephen Breen
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  2. Peter D. Skiff
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Breen, S., Skiff, P.D. Identical motion in relativistic quantum and classical mechanics. Found Phys 7, 589–596 (1977). https://doi.org/10.1007/BF00708871

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