Formal derivation of mechanical motion magnitudes

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.