Abstract

We study the semi-classical asymptotic behavior as (h→0) of scattering amplitudes for Schrödinger operators -(1/2)h 2 Δ+V. The asymptotic formula is obtained for energies fixed in a non-trapping energy range and also is applied to study the low energy behavior of scattering amplitudes for a certain class of slowly decreasing repulsive potentials without spherical symmetry.

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