Geodesic
Estimates of~the scattering data in~a~Schr\"odinger spectral problem on~the line
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 79-92

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For the Schrödinger spectral problem on the line when $k\in R$ the lower and upper estimates are obtained for the penetration and reflection coefficients in terms of the integral parameters of the potential and $|k|$. Necessary and sufficient conditions of the smallness of the tunneling effect are considered. 
@article{TMF_1989_79_1_a7,
     author = {E. R. Lubenets},
     title = {Estimates of~the scattering data {in~a~Schr\"odinger} spectral problem on~the line},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {79--92},
     publisher = {mathdoc},
     volume = {79},
     number = {1},
     year = {1989},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a7/}
}
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E. R. Lubenets. Estimates of~the scattering data in~a~Schr\"odinger spectral problem on~the line. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 79-92. http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a7/