Abstract
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 $4 \times 4$ Hermitian matrix valued function which decays suitably at infinity. We show that the the zero resonance is absent for $H$, extending recent results of Sait\={o}-Umeda [6] and Zhong-Gao [7].
Citation
Daisuke AIBA. "Absence of zero resonances of massless Dirac operators." Hokkaido Math. J. 45 (2) 263 - 270, June 2016. https://doi.org/10.14492/hokmj/1470139404
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