Nonlinear Simulation of the Hydrogen Atom Based on the Model of the Elliptic Oscillator

It is shown that the application of the model of the hydrogen atom, which is based on the theory
 of the elliptic oscillator, makes it possible to describe the structure of electron orbits. The investigation is based on asymptotics methods of nonlinear mechanics. It was established that the&...

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Bibliographic Details
Published in:Нелінійні коливання
Date:2001
Main Author: Santagata, C.
Format: Article
Language:English
Published: Інститут математики НАН України 2001
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/174695
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Nonlinear Simulation of the Hydrogen Atom Based on the Model of the Elliptic Oscillator / C. Santagata, C. Santagata // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 376-388. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:It is shown that the application of the model of the hydrogen atom, which is based on the theory
 of the elliptic oscillator, makes it possible to describe the structure of electron orbits. The investigation is based on asymptotics methods of nonlinear mechanics. It was established that the
 stable orbits of the electron correspond to certain resonant states. A numerical simulation of
 the problem was carried out
ISSN:1562-3076