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Apple Academic Press eBooks

Quantum and Wave Characteristics of Spatial-Energy Interactions

Г. А. Кораблев, Gennady Efremovich Zaikov

Published May 7, 2014• 1 citation
Publisher

Abstract

It is demonstrated that for two-particle interactions the principle of adding reciprocals of energy characteristics of subsystems is performed for processes flowing by the potential gradient, and the principle of their algebraic addition – for the processes against the potential gradient.
DOI
10.1201/b16874-11

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The notion of spatial-energy parameter (P-parameter) is introduced based on the modified Lagrangian equation for relative motion of two interacting material points, which is a complex characteristic of important atomic values. Wave properties of P-parameter are found, its wave equation having a formal analogy with the equation of Ψ-function is given. In the systems in which the interactions proceed along the potential gradient (positive performance) the resulting potential energy is found based on the principle of adding reciprocals of the corresponding energies of subsystems. Some correlations of P-parameter values with Lagrangian and Hamiltonian functions are obtained.

European Chemical Bulletin•Jun 15, 2016•0 citations
Two principles of adding energy characteristics of structural interactions are fulfilled if the process flows either along the potential gradient or against it. Transforming these rules onto the corpuscular-wave dualism, we can assume that corpuscular interactions flow along the potential gradient (principle of adding reciprocals of energies), and wave processes—against the potential gradient (principle of algebraic addition of energies). Such approach is confirmed by the empiric equation, in which the act of quantum action is narrowed to the energy redistribution in the system “particle-wave.” It is demonstrated that the angular vector of rotational–translation motion of electrons at quantum transitions changes in compliance with the quantum number of the square tangent of this angle.
Two principles of adding energy characteristics of structural interactions are fulfilled if the process flows either along the potential gradient or against it. Transforming these rules onto the corpuscular-wave dualism, we can assume that corpuscular interactions flow along the potential gradient (principle of adding reciprocals of energies), and wave processes – against the potential gradient (principle of algebraic addition of energies). Such approach is confirmed by the empiric equation, in which the act of quantum action is narrowed to the energy redistribution in the system “particle-wave”. It is demonstrated that the angular vector of rotational-translation motion of electrons at quantum transitions changes in compliance with the quantum number of the square tangent of this angle.
The notion of spatial-energy parameter (P-parameter) is introduced based on the modified Lagrangian equation for relative motion of two interacting material points, which is a complex characteristic of important atomic values. Wave properties of P-parameter are found, its wave equation having a formal analogy with the equation of Ψ-function is given. In the systems in which the interactions proceed along the potential gradient (positive performance) the resulting potential energy is found based on the principle of adding reciprocals of the corresponding energies of subsystems. Some correlations of P-parameter values with Lagrangian and Hamiltonian functions are obtained.