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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| Опубліковано в: : | Нелінійні коливання |
|---|---|
| Дата: | 2001 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2001
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/174695 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862713566834982912 |
|---|---|
| author | Santagata, C. |
| author_facet | Santagata, C. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Нелінійні коливання |
| description | 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
|
| first_indexed | 2025-12-07T17:44:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-174695 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-3076 |
| language | English |
| last_indexed | 2025-12-07T17:44:58Z |
| publishDate | 2001 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Santagata, C. 2021-01-27T11:26:10Z 2021-01-27T11:26:10Z 2001 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. 1562-3076 https://nasplib.isofts.kiev.ua/handle/123456789/174695 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 The author wants to express special gratitude and deep thankfulness to the physicist Prof.
 Franco Selleri of the University of Bari, Italy, who, with his exemplary and particular criticism
 to the article Vibration Mechanics: Atoms, Nuclei and Resonances, to be published soon, has
 originated the present improvement of that paper. en Інститут математики НАН України Нелінійні коливання Nonlinear Simulation of the Hydrogen Atom Based on the Model of the Elliptic Oscillator Нелінійна емуляція атома гідрогену, що базується на моделі еліптичного осцилятора Нелинейная эмуляция атома водорода, основанная на модели эллиптического осциллятора Article published earlier |
| spellingShingle | Nonlinear Simulation of the Hydrogen Atom Based on the Model of the Elliptic Oscillator Santagata, C. |
| title | Nonlinear Simulation of the Hydrogen Atom Based on the Model of the Elliptic Oscillator |
| title_alt | Нелінійна емуляція атома гідрогену, що базується на моделі еліптичного осцилятора Нелинейная эмуляция атома водорода, основанная на модели эллиптического осциллятора |
| title_full | Nonlinear Simulation of the Hydrogen Atom Based on the Model of the Elliptic Oscillator |
| title_fullStr | Nonlinear Simulation of the Hydrogen Atom Based on the Model of the Elliptic Oscillator |
| title_full_unstemmed | Nonlinear Simulation of the Hydrogen Atom Based on the Model of the Elliptic Oscillator |
| title_short | Nonlinear Simulation of the Hydrogen Atom Based on the Model of the Elliptic Oscillator |
| title_sort | nonlinear simulation of the hydrogen atom based on the model of the elliptic oscillator |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/174695 |
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