Inverse scattering problem for the 3-D Schrödinger equation and Wiener–Hopf factorization of the scattering operator
- 1 September 1990
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 31 (9) , 2172-2180
- https://doi.org/10.1063/1.528621
Abstract
Sufficient conditions are given for the existence of a Wiener–Hopf factorization of the scattering operator for the 3‐D Schrödinger equation with a potential having no spherical symmetry. A consequence of this factorization is the solution of a related Riemann–Hilbert problem, thus providing a solution of the 3‐D inverse scattering problem.Keywords
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