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Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences"

MATHEMATICAL BASIS OF QUANTUM MECHANICAL SYSTEMS

Published June 2024
Kazakh National Women's Pedagogical University, Almaty
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T.B. Koshtybayev

Koshtybayev T.‒candidate of Physical and Mathematical Sciences, Associate Professor of the Department of  Physics of the Kazakh National Women's Teacher Training University, Almaty, Aiteke bi, 99  koshtybayev70@mail.ru

Abai Kazakh National Pedagogical University, Almaty
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M.Е. Aliyeva

Master of Sciences, Senior lecturer of the Physics Department of the Abai Kazakh National

Pedagogical University, Almaty, moldir-2008@mail.ru

Kazakh National Women's Pedagogical University, Almaty
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A.М. Tatenov

Tatenov A. ‒ Candidate of Physical and Mathematical Sciences, Associate Professor of the Department

                             of  Physics of the Kazakh National Women's Teacher Training University, Almaty,

                             Aiteke bi, 99        a.tatenov1@gmail.com   

Abstract

This article outlines the meaning and role, as well as the systemic relationship of parameters (physical quantities) responsible for the wave and corpuscular properties of light. For convenience of calculations and simplification of formula entries, additional constants have been introduced. Numerical values of wave and corpuscular parameters for electromagnetic radiation and their photons are calculated, and the relationship of these parameters with the use of new constants is shown. From the point of view of the classical position of the particle-wave principle, light is a stream of photons propagating in the form of electromagnetic waves. To prove that both properties of light complement each other, the relations are shown, where the corpuscular quantities are determined through the quantities corresponding to the wave property of the photon. The periods of its formation, competition and existence as a theory are described. Thanks to the corpuscular and wave concepts of quantum mechanical systems, the ideological content of phenomena in the world of microparticles becomes clearer. It is implemented through relations related to the Planck constant of the parameters responsible for the quantum and wave properties. The main value among them is the relationship between energy and frequency.

Language

Қаз

How to Cite

[1]
Қоштыбаев, Т., Алиева, М. and Татенов, А. 2024. MATHEMATICAL BASIS OF QUANTUM MECHANICAL SYSTEMS. Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences". 86, 2 (Jun. 2024). DOI:https://doi.org/10.51889/2959-5894.2024.86.2.008.