Abstract
The possibility of determining the preferred stable trajectories of macroparticles when the initial conditions of their motion in a central field remain indeterminate is investigated. The concept of “field-dynamical” equilibrium is introduced, an equation is derived for it, and one of the possible physical interpretations of this state is submitted. General considerations are advanced with regard to the solution of the equation, and a similarity is noted between the resulting equation and the quantum-mechanical Schrödinger equation.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 10, pp. 46–52, October, 1971.
I wish to gratefully acknowledge State Prize Laureate and member of the international Commission on Gravitation, Prof. D. D. Ivanenko, and the Director of the Astronomical Observatory of Kiev University, Prof. A. F. Bogorodskii, for affording me the opportunity on several occasions to present papers at seminars under their direction, as well as for their valuable consultations on individual aspects of the present study.
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Gulak, Y.K. Field theory. Soviet Physics Journal 14, 1346–1350 (1971). https://doi.org/10.1007/BF00823875
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DOI: https://doi.org/10.1007/BF00823875