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- W1994516963 abstract "The one-dimensional Schrödinger equation with a potential k2V(x) proportional to energy is studied. This equation is equivalent to the wave equation with variable speed. When V(x)<1, is bounded below, and satisfies two integrability conditions, the scattering matrix is obtained and its asymptotics for small and large energies are established. The inverse scattering problem of recovering V(x) when the scattering matrix is known is also solved. By proving that all the solutions of a key Riemann–Hilbert problem have the same asymptotics for large energy, it is shown that the potential obtained is unique." @default.
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- W1994516963 date "1991-10-01" @default.
- W1994516963 modified "2023-10-16" @default.
- W1994516963 title "Scattering and inverse scattering for the 1‐D Schrödinger equation with energy‐dependent potentials" @default.
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- W1994516963 doi "https://doi.org/10.1063/1.529070" @default.
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