Quantum inverse scattering problem as a Cauchy problem

DOI10.1016/0021-9991(91)90011-9zbMath0749.65079OpenAlexW2057570588MaRDI QIDQ1181890

D. I. Abramov

Publication date: 27 June 1992

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(91)90011-9

zbMATH Keywords

inverse problemCauchy problemquantum scatteringreconstruction of the potentialGel'fand-Levitan methodinfinite system of ordinary first-order differential equations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Computational methods for problems pertaining to quantum theory (81-08) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Cites Work

• Hybrid Methods for Initial Value Problems in Ordinary Differential Equations
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