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Journal of Machinery Manufacture and Reliability

Back Impulses, the Integral Vector of Umov, and Other Quantities of Mechanical Motion

Igor Pavlovich Popov

Published Dec 1, 2022• 0 citations
Publisher

Abstract

Macromechanical quantities are obtained using quantum mechanical differential equations. The magnitudes of mechanical motion of different orders are generated by formal analogues of the Schrödinger equation. These quantities include both known (mass, momentum, kinetic energy) and unknown (Umov’s integral vector for kinetic energy, reverse impulse, etc.) properties. The proper Schrödinger equation formally generates the zeroth-order mechanical motion $$m{{{v}}^{0}}$$ (in the sense that it is in the Schrödinger equation). The magnitude of the first-order mechanical motion $$m{{{v}}^{1}}$$ is generated by a formal analogue of the Schrödinger equation, which is a combination of the proper wave function and its gradient.

DOI
10.3103/s1052618822070123

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Macromechanical quantities are obtained using quantum mechanical differential equations. The magnitudes of mechanical motion of different orders are generated by formal analogues of the Schrödinger equation. These quantities include both known (mass, momentum, kinetic energy) and unknown (Umov’s integral vector for kinetic energy, reverse impulse, etc.) properties. The proper Schrödinger equation formally generates the zeroth-order mechanical motion mv0m{{{v}}^{0}}mv0 (in the sense that it is in the Schrödinger equation). The magnitude of the first-order mechanical motion mv1m{{{v}}^{1}}mv1 is generated by a formal analogue of the Schrödinger equation, which is a combination of the proper wave function and its gradient.
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