Geodesic
Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schrödinger equation with a trap potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 2, pp. 271-276 
A. A. Arsen'ev. Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schrödinger equation with a trap potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 2, pp. 271-276. http://geodesic.mathdoc.fr/item/TMF_1998_114_2_a3/
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     title = {Estimation of the imaginary part of the scattering matrix pole for the three-dimensional {Schr\"odinger} equation with a trap potential},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A method is proposed for estimating the imaginary part of the scattering matrix resonant pole for the three-dimensional Schrödinger equation with a trap potential. The method is based on the invariance of the wave operators and on the Parseval equality. It is shown that as the barrier height increases, the imaginary part of the scattering matrix resonant pole exponentially tends to zero.

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