Codice  QDD 137 
Titolo  Weighted dispersive estimates for twodimensional Schroedinger operators with AharonovBohm magnetic field 
Data  20121030 
Autore/i  Grillo, G.; Kovarik, H. 
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Abstract  We consider twodimensional Schroedinger operators with AharonovBohm 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 nonmagnetic Schroedinger operators, and that the decay rate in time is determined by the magnetic flux. 
