Abstract
We study magnetic Schrödinger operators of the form H=(P−a)2+V in L2(Rm+p), with m⩾2. We get a limiting absorption principle and the absence of singular spectrum under rather mild and especially anisotropic hypothesis. The magnetic field B and the potential V will be connected by some Rm-conditions, but in the Rp-variable there will be almost no constraints. If m=2 and p=0, our results contrast with the known fact that P2+V always has bound states if V is negative.
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