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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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
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spelling doaj-fcbc9fb720d44021a49b6e55076d75a72021-09-06T19:22:27ZengSciendoLatvian Journal of Physics and Technical Sciences0868-82572019-02-01561708110.2478/lpts-2019-0007lpts-2019-0007V-Function Method: Some Solutions of Direct and Inverse Dynamics Problems in A New StatementValishin Nail T.0Valishin Fan T.1Department of Special Mathematics, Kazan National Research Technical University named after A.N. Tupolev, 10 K. Marx Str., 420111, Kazan, RussiaPhilosophy Methodology Center of Dynamism of Tatarstan Academy of Sciences, 20 Bauman Str., 420111, Kazan, RussiaBased 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.https://doi.org/10.2478/lpts-2019-0007optico-mechanical analogyharmonic oscillatorvariation principlewave equationwave function
collection DOAJ
language English
format Article
sources DOAJ
author Valishin Nail T.
Valishin Fan T.
spellingShingle Valishin Nail T.
Valishin Fan T.
V-Function Method: Some Solutions of Direct and Inverse Dynamics Problems in A New Statement
Latvian Journal of Physics and Technical Sciences
optico-mechanical analogy
harmonic oscillator
variation principle
wave equation
wave function
author_facet Valishin Nail T.
Valishin Fan T.
author_sort Valishin Nail T.
title V-Function Method: Some Solutions of Direct and Inverse Dynamics Problems in A New Statement
title_short V-Function Method: Some Solutions of Direct and Inverse Dynamics Problems in A New Statement
title_full V-Function Method: Some Solutions of Direct and Inverse Dynamics Problems in A New Statement
title_fullStr V-Function Method: Some Solutions of Direct and Inverse Dynamics Problems in A New Statement
title_full_unstemmed V-Function Method: Some Solutions of Direct and Inverse Dynamics Problems in A New Statement
title_sort v-function method: some solutions of direct and inverse dynamics problems in a new statement
publisher Sciendo
series Latvian Journal of Physics and Technical Sciences
issn 0868-8257
publishDate 2019-02-01
description 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.
topic optico-mechanical analogy
harmonic oscillator
variation principle
wave equation
wave function
url https://doi.org/10.2478/lpts-2019-0007
work_keys_str_mv AT valishinnailt vfunctionmethodsomesolutionsofdirectandinversedynamicsproblemsinanewstatement
AT valishinfant vfunctionmethodsomesolutionsofdirectandinversedynamicsproblemsinanewstatement
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