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- W1970547143 abstract "This is the second in a series of papers on scattering theory for one-dimensional Schrödinger operators with Miura potentials admitting a Riccati representation of the form q = u′ + u 2 for some u ∈ 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 Schrödinger 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.
- W1970547143 created "2016-06-24" @default.
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- W1970547143 date "2011-09-01" @default.
- W1970547143 modified "2023-09-27" @default.
- W1970547143 title "Inverse Scattering for Schrödinger Operators with Miura Potentials, II. Different Riccati Representatives" @default.
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- W1970547143 doi "https://doi.org/10.1080/03605302.2011.593014" @default.
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