Decay of the polarization field in a Maxwell Bloch system
type: Item
instance of: scholarly article
title: Decay of the polarization field in a Maxwell Bloch system
zbMATH Open document ID: 1028.35146
author: Frank Jochmann
published in: Discrete and Continuous Dynamical Systems
publication date: 2003-06-23T00:00:00Z
review text: The propagation of electromagnetic waves in a gas comprising a quantum mechanical system with two energy levels is investigated using the Maxwell-Bloch equations. This involves considering the behavior of a generally nonlinear second-order system of differential equations describing the dielectric polarization and density of the gas, coupled with Maxwell's equations which describe the electromagnetic field. The purpose of the study is to establish that the polarization field decays as the time \(t\to\infty\).
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35L40
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 76Y05
zbMATH DE Number: 1932835
zbMATH Keywords: quantum mechanical gas with two energy levels
zbMATH Keywords: decay of polarization field
zbMATH Keywords: propagation of electromagnetic waves
zbMATH Keywords: Maxwell-Bloch equations
zbMATH Keywords: dielectric polarization
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
full work available at URL: dcds.2003.9.663
OpenAlex ID: W2024568905
DOI: 10.3934/DCDS.2003.9.663
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description: scientific article; zbMATH DE number 1932835