Counting Function of Magnetic Resonances for Exterior Problems
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Date
2016
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Abstract
We study the asymptotic distribution of the resonances near the Landau levels , , of the Dirichlet (resp. Neumann, resp. Robin) realization in the exterior of a compact domain of of the 3D Schrodinger operator with constant magnetic field of scalar intensity . We investigate the corresponding resonance counting function and obtain the main asymptotic term. In particular, we prove the accumulation of resonances at the Landau levels and the existence of resonance-free sectors. In some cases, it provides the discreteness of the set of embedded eigenvalues near the Landau levels.