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Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits. (English) Zbl 0659.35026
We study the semi-classical asymptotic behavior as \(h\to 0\) of scattering amplitudes for Schrödinger operators \(-()h^ 2\Delta +V.\) 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.
Reviewer: D.Robert

MSC:
35J10 Schrödinger operator, Schrödinger equation
35P25 Scattering theory for PDEs
35B40 Asymptotic behavior of solutions to PDEs
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