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arXiv · 1401.8043

Absence of zero resonances of massless Dirac operators

Daisuke Aiba
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Abstract

We consider the massless Dirac operator $H=α\cdot D+Q(x)$ on the Hilbert space $L^{2}(\mathbb{R}^{3},\mathbb{C}^{4})$, where $Q(x)$ is a $4\times4$ Hermitian matrix valued function which suitably decays at infinity. We show that the the zero resonance is absent for $H$, extending recent results of Saitō-Umeda and Zhong-Gao.

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Daisuke Aiba. 2014-01-31. Absence of zero resonances of massless Dirac operators. https://arxiv.org/abs/1401.8043

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