Kinetic equations for open quantum system in the occupation number representation
Master equation for density matrix of an open many–particle system is derived in the occupation number representation. The Born approximation with respect to system–bath interaction is utilized and the fast relaxation within the system is assumed to be fulfiled. The reduction of a linear master equa...
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| Published in: | Вопросы атомной науки и техники |
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| Date: | 2001 |
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| Format: | Article |
| Language: | English |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2001
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/80027 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Kinetic equations for open quantum system in the occupation number representation / E.G. Petrov // Вопросы атомной науки и техники. — 2001. — № 6. — С. 261-264. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Petrov, E.G. 2015-04-09T15:57:27Z 2015-04-09T15:57:27Z 2001 Kinetic equations for open quantum system in the occupation number representation / E.G. Petrov // Вопросы атомной науки и техники. — 2001. — № 6. — С. 261-264. — Бібліогр.: 11 назв. — англ. 1562-6016 PACS: 02.50.Ey, 02.50.Wp, 05.20.Dd, 05.60.+w https://nasplib.isofts.kiev.ua/handle/123456789/80027 Master equation for density matrix of an open many–particle system is derived in the occupation number representation. The Born approximation with respect to system–bath interaction is utilized and the fast relaxation within the system is assumed to be fulfiled. The reduction of a linear master equation to a nonlinear set of kinetic equations for one–particle distribution functions is carried out at the condition of strong particle–particle interaction. As an example, the procedure of derivation of kinetic equations for description of electron transfer through specific molecular nanostructures like molecular wires is demonstrated with taking into consideration the strong Coulomb repulsion between the transferred electrons. The work is supported in part by the Russian–Ukrainian Programme on Nanophysics and Nanoelectronics. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Kinetic theory Kinetic equations for open quantum system in the occupation number representation Кинетические уравнения для открытой квантовой системы в представлении чисел заполнения Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Kinetic equations for open quantum system in the occupation number representation |
| spellingShingle |
Kinetic equations for open quantum system in the occupation number representation Petrov, E.G. Kinetic theory |
| title_short |
Kinetic equations for open quantum system in the occupation number representation |
| title_full |
Kinetic equations for open quantum system in the occupation number representation |
| title_fullStr |
Kinetic equations for open quantum system in the occupation number representation |
| title_full_unstemmed |
Kinetic equations for open quantum system in the occupation number representation |
| title_sort |
kinetic equations for open quantum system in the occupation number representation |
| author |
Petrov, E.G. |
| author_facet |
Petrov, E.G. |
| topic |
Kinetic theory |
| topic_facet |
Kinetic theory |
| publishDate |
2001 |
| language |
English |
| container_title |
Вопросы атомной науки и техники |
| publisher |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| format |
Article |
| title_alt |
Кинетические уравнения для открытой квантовой системы в представлении чисел заполнения |
| description |
Master equation for density matrix of an open many–particle system is derived in the occupation number representation. The Born approximation with respect to system–bath interaction is utilized and the fast relaxation within the system is assumed to be fulfiled. The reduction of a linear master equation to a nonlinear set of kinetic equations for one–particle distribution functions is carried out at the condition of strong particle–particle interaction. As an example, the procedure of derivation of kinetic equations for description of electron transfer through specific molecular nanostructures like molecular wires is demonstrated with taking into consideration the strong Coulomb repulsion between the transferred electrons.
|
| issn |
1562-6016 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/80027 |
| citation_txt |
Kinetic equations for open quantum system in the occupation number representation / E.G. Petrov // Вопросы атомной науки и техники. — 2001. — № 6. — С. 261-264. — Бібліогр.: 11 назв. — англ. |
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AT petroveg kineticequationsforopenquantumsystemintheoccupationnumberrepresentation AT petroveg kinetičeskieuravneniâdlâotkrytoikvantovoisistemyvpredstavleniičiselzapolneniâ |
| first_indexed |
2025-12-01T04:30:42Z |
| last_indexed |
2025-12-01T04:30:42Z |
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