Abstract:
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.
Citation:
E. R. Lubenets, “Estimates of the scattering data in a Schrödinger spectral problem on the line”, TMF, 79:1 (1989), 79–92; Theoret. and Math. Phys., 79:1 (1989), 396–406