Dispersive estimates for magnetic Schrödinger operators

Hynek Kovarik
Date et heure
Workshop - Magnetic fields and semi-classical analysis

We consider two-dimensional Schrödinger operators with magnetic field. Under certain regularity and decay assumptions on the magnetic and electric field we show that the behaviour of the corresponding resolvent at the threshold and the behaviour of the unitary group for large times are determined by the total flux of the associated magnetic field.


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