|Titolo||Weighted dispersive estimates for two-dimensional Schroedinger operators with Aharonov-Bohm magnetic field|
|Autore/i||Grillo, G.; Kovarik, H.|
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|Abstract||We consider two-dimensional Schroedinger operators with Aharonov-Bohm magnetic field and an additional electric potential.
We obtain an explicit leading term of the asymptotic expansion of the unitary group associated to H for large times in weighted L^2 spaces. In particular, we show that the magnetic field improves the decay of the unitary group with respect to the unitary group generated by non-magnetic Schroedinger operators, and that the decay rate in time is determined by the magnetic flux.|