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On functional approach to classical mechanics

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Abstract

Newtonian classical mechanics deals with real numbers that are non-observable. In this note a non-Newtonian functional mechanics based on probability distributions is considered. For an anharmonic oscillator the correspondence between its Newtonian trajectories and those averaged in the frame of functional mechanics approach is investigated. Dependence of the characteristic time of trajectories divergence on the dispersion of initial conditions is derived.

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  1. Moscow Institute of Physics and Technology, Institutskiy lane 9, 141700, Dolgoprudny, Moscow Region, Russia

    Evgeny V. Piskovskiy

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  1. Evgeny V. Piskovskiy
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Correspondence to Evgeny V. Piskovskiy.

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The text was submitted by the author in English.

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Piskovskiy, E.V. On functional approach to classical mechanics. P-Adic Num Ultrametr Anal Appl 3, 243–247 (2011). https://doi.org/10.1134/S2070046611030095

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