Integrable Models of Interaction of Matter with Radiation
The simplified models of interaction of charged matter with resonance modes of radiation generalizing the well-known Jaynes-Cummings and Dicke models are considered. It is found that these new models are integrable for arbitrary numbers of dipole sources and resonance modes of the radiation field. T...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146098 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Integrable Models of Interaction of Matter with Radiation / V.I. Inozemtsev, N.G. Inozemtseva // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862648144654761984 |
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| author | Inozemtsev, V.I. Inozemtseva, N.G. |
| author_facet | Inozemtsev, V.I. Inozemtseva, N.G. |
| citation_txt | Integrable Models of Interaction of Matter with Radiation / V.I. Inozemtsev, N.G. Inozemtseva // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The simplified models of interaction of charged matter with resonance modes of radiation generalizing the well-known Jaynes-Cummings and Dicke models are considered. It is found that these new models are integrable for arbitrary numbers of dipole sources and resonance modes of the radiation field. The problem of explicit diagonalisation of corresponding Hamiltonians is discussed.
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| first_indexed | 2025-12-01T14:19:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146098 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T14:19:44Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Inozemtsev, V.I. Inozemtseva, N.G. 2019-02-07T13:12:26Z 2019-02-07T13:12:26Z 2006 Integrable Models of Interaction of Matter with Radiation / V.I. Inozemtsev, N.G. Inozemtseva // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 12 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81R05; 81S99 https://nasplib.isofts.kiev.ua/handle/123456789/146098 The simplified models of interaction of charged matter with resonance modes of radiation generalizing the well-known Jaynes-Cummings and Dicke models are considered. It is found that these new models are integrable for arbitrary numbers of dipole sources and resonance modes of the radiation field. The problem of explicit diagonalisation of corresponding Hamiltonians is discussed. This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Integrable Models of Interaction of Matter with Radiation Article published earlier |
| spellingShingle | Integrable Models of Interaction of Matter with Radiation Inozemtsev, V.I. Inozemtseva, N.G. |
| title | Integrable Models of Interaction of Matter with Radiation |
| title_full | Integrable Models of Interaction of Matter with Radiation |
| title_fullStr | Integrable Models of Interaction of Matter with Radiation |
| title_full_unstemmed | Integrable Models of Interaction of Matter with Radiation |
| title_short | Integrable Models of Interaction of Matter with Radiation |
| title_sort | integrable models of interaction of matter with radiation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146098 |
| work_keys_str_mv | AT inozemtsevvi integrablemodelsofinteractionofmatterwithradiation AT inozemtsevang integrablemodelsofinteractionofmatterwithradiation |