Abstract
The same simple and standard way, by means of which an inverse problem for scattering of spinless particles by central potentials is solved in the Gelfand-Levitan method, is applied to the Marchenko method for general angular momenta including the bound states. We first derive an integral equation for the kernel with a triangularity property, which relates it to a potential and then the other one, which connects the kernel with spectral data. A solution corresponding to the general Yukawa potential is found and some formulae are checked by solving the problem of the restrained phase equivalent potentials.
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