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Currently displaying 1 – 2 of 2

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Limite semi-classique de l'amplitude de diffusion

Didier Robert; H. Tamura — 1988

Journées équations aux dérivées partielles

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

Didier Robert; H. Tamura — 1989

Annales de l'institut Fourier

We study the semi-classical asymptotic behavior as $(h \to 0)$ 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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