On the Generalized Maxwell-Bloch Equations
Mathematical Physics
2008-04-24 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.math-ph/0603071,
title = {On the Generalized Maxwell-Bloch Equations},
author = {Pavle Saksida},
journal= {arXiv preprint arXiv:math-ph/0603071},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/