Integrability and geometric prequantization of the Maxwell-Bloch equations

DOI10.1016/S0007-4497(98)80089-4zbMath0976.37039OpenAlexW2026760984MaRDI QIDQ1387728

Mircea Puta

Publication date: 27 March 2001

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(98)80089-4

zbMATH Keywords

3-dimensional real valued Maxwell-Bloch equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantum optics (81V80) Geometry and quantization, symplectic methods (81S10) Electromagnetic theory (general) (78A25) Geometric quantization (53D50)

Related Items (5)

On a Hamilton-Poisson approach of the Maxwell-Bloch equations with a control ⋮ On some dynamical and geometrical properties of the Maxwell-Bloch equations with a quadratic control ⋮ Homoclinic orbits and Jacobi stability on the orbits of Maxwell–Bloch system ⋮ Symmetries of the Maxwell-Bloch equations with the rotating wave approximation ⋮ Identifying weak foci and centers in the Maxwell-Bloch system

Cites Work

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• Homoclinic chaos in a laser-matter system
• Almost Poisson integration of rigid body systems
• Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch travelling wave equations
• Three-dimensional real-valued Maxwell-Bloch equations with controls
• On the Product of Semi-Groups of Operators
• LIE–TROTTER FORMULA AND POISSON DYNAMICS

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