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 (...
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| Published in: | Semiconductor Physics Quantum Electronics & Optoelectronics |
|---|---|
| Date: | 2014 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/118494 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862550637522190336 |
|---|---|
| author | Kashirina, N.I. |
| author_facet | Kashirina, N.I. |
| 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. |
| collection | DSpace DC |
| container_title | Semiconductor Physics Quantum Electronics & Optoelectronics |
| 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.
|
| first_indexed | 2025-11-25T20:49:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-118494 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1560-8034 |
| language | English |
| last_indexed | 2025-11-25T20:49:20Z |
| publishDate | 2014 |
| publisher | Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Pekar bipolaron and the virial theorem (arbitrary coupling) Kashirina, N.I. |
| title | 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_short | Pekar bipolaron and the virial theorem (arbitrary coupling) |
| title_sort | pekar bipolaron and the virial theorem (arbitrary coupling) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/118494 |
| work_keys_str_mv | AT kashirinani pekarbipolaronandthevirialtheoremarbitrarycoupling |