Abstract
AbstractWe consider the three‐dimensional Schrödinger operator with constant magnetic field of strength b > 0, and with smooth electric potential. The weak asymptotics of the spectral shift function with respect to b ↗ +∞ is studied. First, we fix the distance to the Landau levels, then the distance to Landau levels tends to infinity as b ↗ +∞. In particular we give explicitly the leading terms in the asymptotics and in some case we obtain full asymptotics expansions. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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