Absence of real resonances of Dirac operators

Henry Dumant

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arXiv · 2505.14261

Absence of real resonances of Dirac operators

Henry Dumant

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Abstract

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.

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Henry Dumant. 2025-05-20. Absence of real resonances of Dirac operators. https://arxiv.org/abs/2505.14261

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