Abstract
The effect of short disturbances on nonrelativistic motion is formulated in terms of operators. Analogies with quantum mechanics are developed and some disparities noted. For the one-dimensional particle we obtain analogues of the de Broglie wave commonly associated with particle motion, Heisenberg's commutation relation, Schrödinger's equation, and the statistical interpretation. Whether these results have any bearing on quantum mechanics itself is left an open question.
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References
P. D. Finch, The Formal Structure of Observational Procedures, inSemigroups, T. Hall, P. R. Jones, and G. B. Preston, eds. (Academic Press, New York, 1980).
P. D. Finch,Found. Phys. 12, 327 (1982).
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Finch, P.D. The operator formalism of quantum mechanics from the viewpoint of short disturbances in nonrelativistic classical motion. Found Phys 14, 281–306 (1984). https://doi.org/10.1007/BF00738920
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DOI: https://doi.org/10.1007/BF00738920