Abstract
We consider two-dimensional Schrödinger operators H with an Aharonov–Bohm magnetic field and an additional electric potential. We obtain an explicit leading term of the asymptotic expansion of the unitary group e−itH for t→∞ in weighted L2-spaces. In particular, we show that the magnetic field improves the decay of e−itH with respect to the unitary group of non-magnetic Schrödinger operators, and that the decay rate in time is determined by the magnetic flux.
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