V-Function Method: Some Solutions of Direct and Inverse Dynamics Problems in A New Statement

V-Function Method: Some Solutions of Direct and Inverse Dynamics Problems in A New Statement

Based on the V-function method, the properties of wave nature of object motion are studied for object uniform motion with constant speed and for harmonic oscillator. It follows from the V-function method that object wave motion is inseparably linked with its trajectory motion. The V-function method...

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Bibliographic Details
Main Authors: Valishin Nail T., Valishin Fan T.
Format: Article
Language:English
Published: Sciendo 2019-02-01
Series:Latvian Journal of Physics and Technical Sciences
Subjects:
optico-mechanical analogy
harmonic oscillator
variation principle
wave equation
wave function
Online Access:https://doi.org/10.2478/lpts-2019-0007
Description
Summary:Based on the V-function method, the properties of wave nature of object motion are studied for object uniform motion with constant speed and for harmonic oscillator. It follows from the V-function method that object wave motion is inseparably linked with its trajectory motion. The V-function method consists of the principle of local variation and a new statement of the direct and inverse dynamics problems. The proposed approach made it possible to make the optico-mechanical analogy that obtained a new continuation. A comparison is made with the results obtained by Schrödinger for a harmonic oscillator.
ISSN:0868-8257

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