Symmetries of the Maxwell-Bloch equations with the rotating wave approximation

Symmetries of the Maxwell-Bloch equations with the rotating wave approximation

In this paper a symplectic realization for the Maxwell-Bloch equations with the rotating wave approximation is given, which also leads to a Lagrangian formulation. We show how Lie point symmetries generate a third constant of motion for the considered dynamical system.

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Veröffentlicht in:arXiv.org 2014-02
1. Verfasser: Casu, Ioan
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Mathematical analysis
Mathematics - Dynamical Systems
Rotation
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Zusammenfassung:In this paper a symplectic realization for the Maxwell-Bloch equations with the rotating wave approximation is given, which also leads to a Lagrangian formulation. We show how Lie point symmetries generate a third constant of motion for the considered dynamical system.
ISSN:2331-8422
DOI:10.48550/arxiv.1402.5804