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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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2006
Автори: Inozemtsev, V.I., Inozemtseva, N.G.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2006
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/146098
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-146098
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Integrable Models of Interaction of Matter with Radiation
spellingShingle Integrable Models of Interaction of Matter with Radiation
Inozemtsev, V.I.
Inozemtseva, N.G.
title_short 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_sort integrable models of interaction of matter with radiation
author Inozemtsev, V.I.
Inozemtseva, N.G.
author_facet Inozemtsev, V.I.
Inozemtseva, N.G.
publishDate 2006
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/146098
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.
work_keys_str_mv AT inozemtsevvi integrablemodelsofinteractionofmatterwithradiation
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first_indexed 2025-12-01T14:19:44Z
last_indexed 2025-12-01T14:19:44Z
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