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V-function method: to modeling trajectory-wave motion of an electron in a hydrogen-like atom

Valishin Nail Talgatovich  (Associate Professor, KNITU-KAI named after A.N.Tupolev)

Smoylov Kirill Andreevich  (KNITU-KAI named after A.N.Tupolev)

Babina Sofia Vyacheslavovna  (KNITU-KAI named after A.N.Tupolev)

In this paper, the V-function method is considered as a possible apparatus for mathematical modeling of the trajectory-wave motion of an object (particle) in a Coulomb force field. The possibility of solving the direct and inverse problems of dynamics on the basis of this method is analyzed, in connection with which a study of the wave function for an object is carried out and its energy is determined. When modeling the motion of an electron in a Coulomb field, the method under consideration allows us to establish a rule for quantization of the energy of a hydrogen-like atom, which completely coincides with the classical results.

Keywords:trajectory-wave motion, motion modeling, wave function, wave equation, hydrogen-like atom.
 

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Citation link:
Valishin N. T., Smoylov K. A., Babina S. V. V-function method: to modeling trajectory-wave motion of an electron in a hydrogen-like atom // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2022. -№09. -С. 72-75 DOI 10.37882/2223-2966.2022.09.04
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