Journal of Mathematical Physics · 1984 · 25 citations · 12 references
Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsTheoretical PhysicsInverse ProblemsInverse Problems In MechanicsScattering ProblemsScattering TheorySchrödinger EquationWave FunctionsElectromagnetic Inverse ScatteringInverse Problems In Partial Differential EquationsInverse ScatteringScattering AmplitudesScattering Inverse ProblemsTime-independent Schrödinger Equation
The inverse scattering problem is solved for the two-dimensional time-independent Schrödinger equation. That is, the potential is reconstructed from the scattering amplitude, which is assumed to be known for all energies and angles.
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Inverse scattering on the line
Percy Deift, Eugene Trubowitz · Communications on Pure and Applied Mathematics · 1979 · 924 citations
Inverse problem of quantum scattering theory. II.
L. D. Faddeev · Journal of Mathematical Sciences · 1976 · 241 citations · Full text
Formal Solutions of Inverse Scattering Problems
Reese T. Prosser · Journal of Mathematical Physics · 1969 · 151 citations
Inverse scattering. II. Three dimensions
Roger G. Newton · Journal of Mathematical Physics · 1980 · 126 citations