Geodesic
Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schr\"odinger equation with a trap potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 2, pp. 271-276

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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. 
@article{TMF_1998_114_2_a3,
     author = {A. A. Arsen'ev},
     title = {Estimation of the imaginary part of the scattering matrix pole for the three-dimensional {Schr\"odinger} equation with a trap potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {271--276},
     publisher = {mathdoc},
     volume = {114},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_2_a3/}
}
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A. A. Arsen'ev. Estimation of the imaginary part of the scattering matrix pole for the three-dimensional Schr\"odinger 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/