no. 1
Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
Annales de l'Institut Fourier, Tome 39 (1989) no. 1, pp. 155-192

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.

Nous étudions l’asymptotique semi-classique (h→0) de l’amplitude de diffusion pour l’opérateur de Schrödinger -(1/2)h 2 Δ+V. Nous obtenons une formule asymptotique pour des niveaux d’énergie sans trajectoire captée. De plus la méthode s’applique à l’étude de l’amplitude de diffusion à basse énergie, pour une classe de potentiels répulsifs décroissants assez lentement (non nécessairement à symétrie sphérique).

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     author = {Robert, Didier and Tamura, H.},
     title = {Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits},
     journal = {Annales de l'Institut Fourier},
     pages = {155--192},
     year = {1989},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {39},
     number = {1},
     doi = {10.5802/aif.1162},
     mrnumber = {91c:35116},
     zbl = {0659.35026},
     language = {en},
     url = {https://www.numdam.org/articles/10.5802/aif.1162/}
}
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Robert, Didier; Tamura, H. Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits. Annales de l'Institut Fourier, Tome 39 (1989) no. 1, pp. 155-192. doi: 10.5802/aif.1162

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