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Some properties of the scattering amplitude and the inverse scattering problem

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Publication:1171220
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zbMath0498.35070MaRDI QIDQ1171220

Yoshimi Saito

Publication date: 1982

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Fourier transformSchrödinger operatorscattering amplitudeS-matrixshort-range potentialinverse scattering problem


Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)


Related Items (8)

Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials ⋮ Scattering problems for perturbations of the multidimensional biharmonic operator ⋮ Numerical approximation of the potential in the two-dimesional inverse scattering problem ⋮ Some Inverse Scattering Problems for Perturbations of the Biharmonic Operator ⋮ Unnamed Item ⋮ Numerical results for Saito’s uniqueness theorem in inverse scattering theory ⋮ Stability estimate in the inverse scattering for a single quantum particle in an external short-range potential ⋮ A remark on the limiting absorption method for Dirac operators




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