Absence of zero resonances of massless Dirac operators

Autor:	Aiba, Daisuke
Rok vydání:	2014
Předmět:	Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We consider the massless Dirac operator $H=\alpha \cdot D+Q(x)$ 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 Sait\={o}-Umeda and Zhong-Gao. Comment: 7pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1401.8043 Zobrazit plný text záznamu View this record from Arxiv