Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits
Robert, Didier ; Tamura, H.
Annales de l'Institut Fourier, Tome 39 (1989), p. 155-192 / Harvested from Numdam
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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).

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.

@article{AIF_1989__39_1_155_0,
     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},
     volume = {39},
     year = {1989},
     pages = {155-192},
     doi = {10.5802/aif.1162},
     mrnumber = {91c:35116},
     zbl = {0659.35026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1989__39_1_155_0}
}

Robert, Didier; Tamura, H. Asymptotic behavior of scattering amplitudes in semi-classical and low energy limits. Annales de l'Institut Fourier, Tome 39 (1989) pp. 155-192. doi : 10.5802/aif.1162. http://gdmltest.u-ga.fr/item/AIF_1989__39_1_155_0/

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