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• W147224286 abstract "This is the second in a series of papers on scattering theory for one-dimensional Schrodinger operators with Miura potentials admitting a Riccati representation of the form $q=u'+u^2$ for some $uin L^2(R)$. We consider potentials for which there exist `left' and `right' Riccati representatives with prescribed integrability on half-lines. This class includes all Faddeev--Marchenko potentials in $L^1(R,(1+|x|)dx)$ generating positive Schrodinger operators as well as many distributional potentials with Dirac delta-functions and Coulomb-like singularities. We completely describe the corresponding set of reflection coefficients $r$ and justify the algorithm reconstructing $q$ from $r$." @default.
• W147224286 created "2016-06-24" @default.
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• W147224286 date "2009-10-04" @default.
• W147224286 modified "2023-09-27" @default.
• W147224286 title "Inverse scattering on the line for Schr" @default.
• W147224286 hasPublicationYear "2009" @default.
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