Abstract
We are interested in the limiting absorption principle for Schrödinger operators of the form: H( h) = − h 2 Δ + x 1 + V( x), 0 < h ⩽ h 0. For a large class of potentials V, we establish various estimates for the resolvents of H( h) at non-trapping energy. The proof is based on a simple commutator technique. Our results seem to be new even in the case of h = 1.
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