Pekar bipolaron and the virial theorem (arbitrary coupling)
The work is devoted to issues related with implementation of the virial theorem for one-center bipolaron. The virial theorem expressions have been obtained for an electron system with Coulomb interactions in the phonon field. It is shown that for the bipolaron functional (one-center configuration...
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| Опубліковано в: : | Semiconductor Physics Quantum Electronics & Optoelectronics |
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| Дата: | 2014 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
2014
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/118494 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Pekar bipolaron and the virial theorem (arbitrary coupling) / N.I. Kashirina // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2014. — Т. 17, № 3. — С.260-267. — Бібліогр.: 30 назв. — англ. |
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nasplib_isofts_kiev_ua-123456789-118494 |
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Kashirina, N.I. 2017-05-30T14:13:16Z 2017-05-30T14:13:16Z 2014 Pekar bipolaron and the virial theorem (arbitrary coupling) / N.I. Kashirina // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2014. — Т. 17, № 3. — С.260-267. — Бібліогр.: 30 назв. — англ. 1560-8034 PACS 71.38, 71.38.+i, 73.20.D, 74.80.D https://nasplib.isofts.kiev.ua/handle/123456789/118494 The work is devoted to issues related with implementation of the virial theorem for one-center bipolaron. The virial theorem expressions have been obtained for an electron system with Coulomb interactions in the phonon field. It is shown that for the bipolaron functional (one-center configuration) virial theorem holds for arbitrary electron-phonon coupling. As a specific example of the virial theorem for one-center bipolaron configuration, the author adduces numerical calculations of the energy of the ground state and the various contributions (kinetic energy, electron-phonon interaction, electron energy, phonon energy) into the energy of bipolaron, performed within the framework of Buimistrov-Pekar method. It is shown that the virial theorem is fulfilled with high accuracy for the two-electron systems with Coulomb interactions for an arbitrary value electron-phonon coupling. The necessary condition for formation of a bipolaron stable state is accounting electron correlations associated with the direct dependence of the trial electron wave function of the system from the interelectron distance. The author wishes to express her appreciation of valuable advice and encouragement afforded by Professor V.D. Lakhno and Pr ofessor E.A. Pashitskii. en Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України Semiconductor Physics Quantum Electronics & Optoelectronics Pekar bipolaron and the virial theorem (arbitrary coupling) Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Pekar bipolaron and the virial theorem (arbitrary coupling) |
| spellingShingle |
Pekar bipolaron and the virial theorem (arbitrary coupling) Kashirina, N.I. |
| title_short |
Pekar bipolaron and the virial theorem (arbitrary coupling) |
| title_full |
Pekar bipolaron and the virial theorem (arbitrary coupling) |
| title_fullStr |
Pekar bipolaron and the virial theorem (arbitrary coupling) |
| title_full_unstemmed |
Pekar bipolaron and the virial theorem (arbitrary coupling) |
| title_sort |
pekar bipolaron and the virial theorem (arbitrary coupling) |
| author |
Kashirina, N.I. |
| author_facet |
Kashirina, N.I. |
| publishDate |
2014 |
| language |
English |
| container_title |
Semiconductor Physics Quantum Electronics & Optoelectronics |
| publisher |
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
| format |
Article |
| description |
The work is devoted to issues related with implementation of the virial
theorem for one-center bipolaron. The virial theorem expressions have been obtained for
an electron system with Coulomb interactions in the phonon field. It is shown that for the
bipolaron functional (one-center configuration) virial theorem holds for arbitrary
electron-phonon coupling. As a specific example of the virial theorem for one-center
bipolaron configuration, the author adduces numerical calculations of the energy of the
ground state and the various contributions (kinetic energy, electron-phonon interaction,
electron energy, phonon energy) into the energy of bipolaron, performed within the
framework of Buimistrov-Pekar method. It is shown that the virial theorem is fulfilled
with high accuracy for the two-electron systems with Coulomb interactions for an
arbitrary value electron-phonon coupling. The necessary condition for formation of a
bipolaron stable state is accounting electron correlations associated with the direct
dependence of the trial electron wave function of the system from the interelectron
distance.
|
| issn |
1560-8034 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/118494 |
| fulltext |
|
| citation_txt |
Pekar bipolaron and the virial theorem (arbitrary coupling) / N.I. Kashirina // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2014. — Т. 17, № 3. — С.260-267. — Бібліогр.: 30 назв. — англ. |
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AT kashirinani pekarbipolaronandthevirialtheoremarbitrarycoupling |
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2025-11-25T20:49:20Z |
| last_indexed |
2025-11-25T20:49:20Z |
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1850536034076459008 |