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.
"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