We solve inverse scattering problem for Schr\"odinger operators with compactly supported potentials on the half line. We discretize S-matrix: we take the value of the S-matrix on some infinite sequence of positive real numbers. Using this sequence obtained from S-matrix we recover uniquely the potential by a new explicit formula, without the Gelfand-Levitan-Marchenko equation.
Uniqueness of the solution to inverse scattering problem with backscattering data
The generalized Marchenko method in the inverse scattering problem for a first-order linear system
Inverse scattering problem with fixed energy and fixed incident direction
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