Singular matrix Darboux transformations in the inverse scattering method

Abstract

Singular Darboux transformations, in contrast to the conventional ones, have a singular matrix as a coefficient before the derivative. We incorporated such transformations into a chain of conventional transformations and presented determinant formulas for the resulting action of the chain. A determinant representation of the Kohlhoff-von Geramb solution to the Marchenko equation is given.

16 pages, 1 figure

References in corpus (2)

• Reconstructing the nucleon-nucleon potential by a new coupled-channel inversion method
• Supersymmetric transformations for coupled channels with threshold differences

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