The Bogolubov representation of the polaron model and its completely integrable RPA-approximation
The polaron model in ionic crystal is studied in the Bogolubov representation using a special RPA-approximation. A new exactly solvable approximated polaron model is derived and described in detail. Its free energy at finite temperature is calculated analytically. The polaron free energy in the cons...
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| Дата: | 2010 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут фізики конденсованих систем НАН України
2010
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/32100 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Bogolubov representation of the polaron model and its completely integrable RPA-approximation / N.N. Bogolubov (jr.), Ya.A. Prykarpatsky, A.A. Ghazaryan // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23703: 1-10. — Бібліогр.: 24 назв. — англ. |
Репозитарії
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irk-123456789-321002012-04-09T12:20:42Z The Bogolubov representation of the polaron model and its completely integrable RPA-approximation Bogolubov (jr.), N.N. Prykarpatsky, Ya.A. Ghazaryan, A.A. The polaron model in ionic crystal is studied in the Bogolubov representation using a special RPA-approximation. A new exactly solvable approximated polaron model is derived and described in detail. Its free energy at finite temperature is calculated analytically. The polaron free energy in the constant magnetic field at finite temperature is also discussed. Based on the structure of the Bogolubov unitary transformed polaron Hamiltonian there is stated a very important new result: the full polaron model is exactly solvable. Досліджено модель полярона в іонному кристалі в представленні Боголюбова, використовуючи особливе наближення хаотичних фаз. Виведено та описано нову точно розв'язну наближену модель полярона. Аналітично одержано вільну енергію такої моделі за ненульової температури. Розглянуто вільну енергію полярона в постійному магнітному полі за ненульової температури. На базі унітарного перетворення Боголюбова для поляронного гамільтоніана одержано важливий новий результат: повна модель полярона є точно розв'язною. 2010 Article The Bogolubov representation of the polaron model and its completely integrable RPA-approximation / N.N. Bogolubov (jr.), Ya.A. Prykarpatsky, A.A. Ghazaryan // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23703: 1-10. — Бібліогр.: 24 назв. — англ. 1607-324X PACS: 71.38.+i http://dspace.nbuv.gov.ua/handle/123456789/32100 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The polaron model in ionic crystal is studied in the Bogolubov representation using a special RPA-approximation. A new exactly solvable approximated polaron model is derived and described in detail. Its free energy at finite temperature is calculated analytically. The polaron free energy in the constant magnetic field at finite temperature is also discussed. Based on the structure of the Bogolubov unitary transformed polaron Hamiltonian there is stated a very important new result: the full polaron model is exactly solvable. |
| format |
Article |
| author |
Bogolubov (jr.), N.N. Prykarpatsky, Ya.A. Ghazaryan, A.A. |
| spellingShingle |
Bogolubov (jr.), N.N. Prykarpatsky, Ya.A. Ghazaryan, A.A. The Bogolubov representation of the polaron model and its completely integrable RPA-approximation Condensed Matter Physics |
| author_facet |
Bogolubov (jr.), N.N. Prykarpatsky, Ya.A. Ghazaryan, A.A. |
| author_sort |
Bogolubov (jr.), N.N. |
| title |
The Bogolubov representation of the polaron model and its completely integrable RPA-approximation |
| title_short |
The Bogolubov representation of the polaron model and its completely integrable RPA-approximation |
| title_full |
The Bogolubov representation of the polaron model and its completely integrable RPA-approximation |
| title_fullStr |
The Bogolubov representation of the polaron model and its completely integrable RPA-approximation |
| title_full_unstemmed |
The Bogolubov representation of the polaron model and its completely integrable RPA-approximation |
| title_sort |
bogolubov representation of the polaron model and its completely integrable rpa-approximation |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/32100 |
| citation_txt |
The Bogolubov representation of the polaron model and its completely integrable RPA-approximation / N.N. Bogolubov (jr.), Ya.A. Prykarpatsky, A.A. Ghazaryan // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23703: 1-10. — Бібліогр.: 24 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
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2025-07-03T12:36:26Z |
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