On the Generalized Maxwell-Bloch Equations
A new Hamiltonian structure of the Maxwell-Bloch equations is described. In this setting the Maxwell-Bloch equations appear as a member of a family of generalized Maxwell-Bloch systems. The family is parameterized by compact semi-simple Lie groups, the original Maxwell-Bloch system being the member...
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| Дата: | 2006 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146179 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the Generalized Maxwell-Bloch Equations / P. Saksida // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 21 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146179 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1461792019-02-08T01:23:59Z On the Generalized Maxwell-Bloch Equations Saksida, P. A new Hamiltonian structure of the Maxwell-Bloch equations is described. In this setting the Maxwell-Bloch equations appear as a member of a family of generalized Maxwell-Bloch systems. The family is parameterized by compact semi-simple Lie groups, the original Maxwell-Bloch system being the member corresponding to SU(2). The Hamiltonian structure is then used in the construction of a new family of symmetries and the associated conserved quantities of the Maxwell-Bloch equations. 2006 Article On the Generalized Maxwell-Bloch Equations / P. Saksida // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 21 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K05; 35Q60; 37K30; 35Q58; 53D20 http://dspace.nbuv.gov.ua/handle/123456789/146179 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
A new Hamiltonian structure of the Maxwell-Bloch equations is described. In this setting the Maxwell-Bloch equations appear as a member of a family of generalized Maxwell-Bloch systems. The family is parameterized by compact semi-simple Lie groups, the original Maxwell-Bloch system being the member corresponding to SU(2). The Hamiltonian structure is then used in the construction of a new family of symmetries and the associated conserved quantities of the Maxwell-Bloch equations. |
| format |
Article |
| author |
Saksida, P. |
| spellingShingle |
Saksida, P. On the Generalized Maxwell-Bloch Equations Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Saksida, P. |
| author_sort |
Saksida, P. |
| title |
On the Generalized Maxwell-Bloch Equations |
| title_short |
On the Generalized Maxwell-Bloch Equations |
| title_full |
On the Generalized Maxwell-Bloch Equations |
| title_fullStr |
On the Generalized Maxwell-Bloch Equations |
| title_full_unstemmed |
On the Generalized Maxwell-Bloch Equations |
| title_sort |
on the generalized maxwell-bloch equations |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146179 |
| citation_txt |
On the Generalized Maxwell-Bloch Equations / P. Saksida // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 21 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT saksidap onthegeneralizedmaxwellblochequations |
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2023-05-20T17:24:02Z |
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2023-05-20T17:24:02Z |
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1796153209638617088 |