Geodesic
Estimate of the solution of the~scattering problem for a~one-dimensional trapping potential
Sbornik. Mathematics, Tome 188 (1997) no. 12, pp. 1731-1738

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A new method is proposed for estimating the imaginary part of the pole of the scattering matrix for a one-dimensional trapping potential. The method is based on the principle of wave operator invariance and on the Parseval equality for the continuous spectrum eigenfunctions. 
@article{SM_1997_188_12_a0,
     author = {A. A. Arsen'ev},
     title = {Estimate of the solution of the~scattering problem for a~one-dimensional trapping potential},
     journal = {Sbornik. Mathematics},
     pages = {1731--1738},
     publisher = {mathdoc},
     volume = {188},
     number = {12},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1997_188_12_a0/}
}
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A. A. Arsen'ev. Estimate of the solution of the~scattering problem for a~one-dimensional trapping potential. Sbornik. Mathematics, Tome 188 (1997) no. 12, pp. 1731-1738. http://geodesic.mathdoc.fr/item/SM_1997_188_12_a0/