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

Rémi Abgrall, Thierry Colin, Boniface Nkonga
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Abstract

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.

schrodinger - Bloch系统模拟激光在气体中的传播的研究
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。
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