Open AccessTo continue the optical-mechanical analogy
Author(s) -
Nail T. Valishin,
A. Iu. Volkov,
Z F Bildanova,
V A Selivanova
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1679/2/022016
Subject(s) - analogy , motion (physics) , object (grammar) , action (physics) , classical mechanics , function (biology) , trajectory , connection (principal bundle) , continuation , mathematics , mathematical analysis , physics , computer science , geometry , artificial intelligence , quantum mechanics , philosophy , linguistics , evolutionary biology , biology , programming language
On the basis of the V-function method, an optical-mechanical analogy is carried out; and further it receives a new continuation. In particular, the equality of the phase velocity of the wave and the velocity of the particle is shown. It is noted that according to its physical meaning the wave characterizes the properties of the action that manifests itself in the motion of the particle. The V-function method is based on the concept of a process-state and it consists of a local variational principle, a new formulation of the direct and inverse problem of dynamics. According to the V-function method, the trajectory motion of an object is associated with its wave motion. In this case it is assumed that there is an explicit connection between the trajectory and wave equations of the object. The application of the V-function method for the case of rectilinear motion of an object is shown.