Finite-difference approximation for inverse scattering problem (Q800699)

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scientific article; zbMATH DE number 3878280
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Finite-difference approximation for inverse scattering problem
scientific article; zbMATH DE number 3878280

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    Finite-difference approximation for inverse scattering problem (English)
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    1980
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    For the first time potentials are reconstructed in a finite-difference approximation using a genuine inverse scattering method instead of multiple repeated solutions of a direct problem with iterative fitting of scattering data. Up to now a fundamental difference between spectral properties of the Schrödinger operator and its discrete analog hindered from doing this.
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    finite difference method
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    Schrödinger equation
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    potential reconstruction
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    eigenfunctions
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    inverse scattering method
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    iterative fitting of scattering data
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