A method for computation of scattering amplitudes and Green functions of whole axis problems

DOI10.1002/MMA.5691zbMath1427.34116arXiv1805.06940OpenAlexW3098493977MaRDI QIDQ5240974

Sergii M. Torba, Vladislav V. Kravchenko, Raúl Castillo-Pérez

Publication date: 29 October 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.06940

zbMATH Keywords

Green's functionSchrödinger equationscattering dataNeumann series of Bessel functionsgeneralized eigenfunction expansion

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Theoretical approximation of solutions to ordinary differential equations (34A45) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Green's functions for ordinary differential equations (34B27) Numerical methods for initial value problems involving ordinary differential equations (65L05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

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