Hokkaido Mathematical Journal

Absence of zero resonances of massless Dirac operators

Daisuke AIBA

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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].

Article information

Source
Hokkaido Math. J., Volume 45, Number 2 (2016), 263-270.

Dates
First available in Project Euclid: 2 August 2016

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1470139404

Digital Object Identifier
doi:10.14492/hokmj/1470139404

Mathematical Reviews number (MathSciNet)
MR3532132

Zentralblatt MATH identifier
1342.35275

Subjects
Primary: 35P99: None of the above, but in this section 81Q10: Selfadjoint operator theory in quantum theory, including spectral analysis

Keywords
Dirac operators zero resonances

Citation

AIBA, Daisuke. Absence of zero resonances of massless Dirac operators. Hokkaido Math. J. 45 (2016), no. 2, 263--270. doi:10.14492/hokmj/1470139404. https://projecteuclid.org/euclid.hokmj/1470139404


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