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Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits

Didier RobertH. Tamura — 1989

Annales de l'institut Fourier

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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