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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2022 Number 78, Pages 143–150 (Mi vtgu943)

This article is cited in 1 paper

MECHANICS

Formal derivation of mechanical motion magnitudes

V. D. Pavlov

Vladimir Electromechanical Plant, Vladimir, Russian Federation

Abstract: Quantum-mechanical differential equations are considered, which are formal analogues of the Schrödinger equation. Their differences from each other and from the Schrödinger equation lie in the orders of partial derivatives. A characteristic feature of these equations is the presence of dimensional coefficients, which are the product of integer powers of mass and velocity, which allows us to consider them as quantities of mechanical motion. The logical regularity of the formation of these values is established. The applied nature of two of them - the integral Umov vector for kinetic energy and backward momentum — is considered.

Keywords: Umov vector, backward impulse, motion, magnitude, order.

UDC: 531.011

Received: 23.11.2021
Accepted: July 12, 2022

DOI: 10.17223/19988621/78/11



© Steklov Math. Inst. of RAS, 2024