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June 2020 Eigenvalues and resonances of Dirac operators with dilation analytic potentials diverging at infinity
Hiroshi T. ITO
Hokkaido Math. J. 49(2): 247-296 (June 2020). DOI: 10.14492/hokmj/1602036026

Abstract

We study spectra and resonances of Dirac operators with an electric potential diverging at infinity and a bounded magnetic potential with the help of the dilation analytic method and the Foldy-Wouthuysen-Tani transform. After investigating the spectrum, we study on resonance-free regions. We also show that resonances of the Dirac operator exist near eigenvalues of a Pauli operator or resonances of another Pauli operator when the velocity of light $c$ is sufficiently large.

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Hiroshi T. ITO. "Eigenvalues and resonances of Dirac operators with dilation analytic potentials diverging at infinity." Hokkaido Math. J. 49 (2) 247 - 296, June 2020. https://doi.org/10.14492/hokmj/1602036026

Information

Published: June 2020
First available in Project Euclid: 7 October 2020

zbMATH: 07276076
MathSciNet: MR4159171
Digital Object Identifier: 10.14492/hokmj/1602036026

Subjects:
Primary: 81Q15
Secondary: 81Q12

Rights: Copyright © 2020 Hokkaido University, Department of Mathematics

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Vol.49 • No. 2 • June 2020
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