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On the Generalized Maxwell-Bloch Equations
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- Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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On the Generalized Maxwell-Bloch Equations
Інший ID:
2000 Mathematics Subject Classification: 37K05; 35Q60; 37K30; 35Q58; 53D20
Посилання:
On the Generalized Maxwell-Bloch Equations / P. Saksida // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 21 назв. — англ.
Підтримка:
I would like to thank professors Pavel Winternitz, Gregor Kovacic, and Jirı Patera for interesting and stimulating discussions. The research for this paper was supported in part by the research programme Analysis and Geometry P1-0291, Republic of Slovenia. A part of the research was done at the Centre de Recherches Mathematiques, Montreal, Canada. The hospitality of CRM and especially of professor Jirı Patera is gratefully acknowledged.
Дата:
2006
Переглядів:
486
Завантажень:
277
Анотація:
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.
