# Resonance free regions in magnetic scattering by two solenoidal fields at large separation

@article{Alexandrova2011ResonanceFR,
title={Resonance free regions in magnetic scattering by two solenoidal fields at large separation},
author={I. Alexandrova and H. Tamura},
journal={Journal of Functional Analysis},
year={2011},
volume={260},
pages={1836-1885}
}
• Published 2011
• Mathematics
• Journal of Functional Analysis
Abstract We consider the problem of quantum resonances in magnetic scattering by two solenoidal fields at large separation in two dimensions. This system has trapped trajectories oscillating between two centers of the fields. We give a sharp lower bound on resonance widths when the distance between the two centers goes to infinity. The bound is described in terms of backward amplitudes calculated explicitly for scattering by each solenoidal field. The study is based on a new type of complex… Expand
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