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Resonances and Spectral Shift Function near the Landau levels

Resonances and Spectral Shift Function near the Landau levels

We consider the 3D Schrödinger operator H=H 0 +V where H 0 =(-i∇-A) 2 -b, A is a magnetic potential generating a constant magneticfield of strength b>0, and V is a short-range electric potential which decays superexponentially with respect to the variable along the magnetic field. We show that the …