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We relate three-dimensional scattering theory for the time-independent Schrödinger equation without spherical symmetry to scattering theory for the plasma-wave equation (PWE). We review a recent inverse scattering method for the PWE and find the corresponding method for the Schrödinger equation. We then review Newton’s three-dimensional Marchenko method for the Schrödinger equation and transform it to the corresponding PWE method. The resulting time-domain hyperbolic method clarifies the role of causality in Newton’s important recent work.
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Rose et al. (1984) studied this question.
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