<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Based on the <italic>V</italic>-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 <italic>V</italic>-function method that object wave motion is inseparably linked with its trajectory motion. The <italic>V</italic>-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.</p></abstract>

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.

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

Kazan National Research Technical University

Philosophy Methodology Center of Dynamism of Tatarstan Academy of Sciences

Latvian Journal of Physics and Technical Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

-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...

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

Published Online: Mar 28, 2019

Page range: 70 - 81

DOI: https://doi.org/10.2478/lpts-2019-0007

Keywords
optico-mechanical analogy, harmonic oscillator, variation principle, wave equation, wave function

© 2019 Nail T. Valishin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Mar 28, 2019

Page range: 70 - 81

DOI: https://doi.org/10.2478/lpts-2019-0007

Keywordsoptico-mechanical analogy, harmonic oscillator, variation principle, wave equation, wave function

© 2019 Nail T. Valishin et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
optico-mechanical analogy, harmonic oscillator, variation principle, wave equation, wave function