1984•Studies in Applied MathematicsRequires access

A Multidimensional Inverse‐Scattering Method

Adrian Nachman, Mark J. Ablowitz

Abstract

A formal solution of the inverse scattering problem for the n ‐dimensional; time‐dependent and time‐independent Schrödinger equations is given. Equations are found for reconstructing the potential from scattering data purely by quadratures. The solution also helps elucidate the problem of characterizing admissible scattering data.

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Key concepts: Inverse scattering problem, Inverse scattering transform, Scattering, Quantum inverse scattering method, Inverse problem, Scattering theory, Inverse, Mathematical analysis