标题： 狄拉克算子的实共振缺失 显示英文标题

标题： Absence of real resonances of Dirac operators

摘要： 本文的目的是通过解析延拓截断预解式来介绍狄拉克算子的共振，并建立关于它们定位的一个结果：一种Rellich定理。 首先，我们考虑外部场中狄拉克算子的情形，该场基本上是有界的且紧支集的。 其次，我们考虑MIT袋模型在外形光滑且有界的障碍物之外的情形。 最后，我们对一维狄拉克算子的共振进行了显式计算。 显示英文摘要

摘要： The purpose of this paper is to introduce the resonances of Dirac operators by continuing meromorphically the truncated resolvent and to establish a result about their localization : a kind of Rellich Theorem. Firstly, we consider the case of the Dirac operator in an external field which is essentially bounded and compactly supported. Secondly, we consider the case of the MIT bag model outside a smooth and bounded obstacle. We finally perform an explicit computation of resonances of a unidimensional Dirac operator.