CodiceQDD 137
TitoloWeighted dispersive estimates for two-dimensional Schroedinger operators with Aharonov-Bohm magnetic field
Data2012-10-30
Autore/iGrillo, G.; Kovarik, H.
LinkDownload full text
AbstractWe 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.