schrodinger - Bloch系统模拟激光在气体中的传播的研究

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-10-01 DOI:10.1016/S0764-4442(01)02105-X

Rémi Abgrall, Thierry Colin, Boniface Nkonga

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摘要

在这篇笔记中，我们研究了一个两级Schrödinger-Bloch系统:首先我们引入了一个系统的无量纲形式，其中出现了一个小参数。然后证明了一个存在性定理和一个渐近结果。最后，我们提出了一种相对于小参数均匀的有效数值格式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Étude du système de Schrödinger–Bloch modélisant la propagation d'un laser dans un gaz

In this Note, we study a two-level Schrödinger–Bloch system: first we introduce a nondimensional form of the system in which a small parameter appears. Then we prove an existence theorem and an asymptotic result. Finally, we propose an efficient numerical scheme that is uniform with respect to the small parameter.

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Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

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