Singular matrix Darboux transformations in the inverse scattering method

Details Singular matrix Darboux transformations in the inverse scattering method Singular matrix Darboux transformations in the inverse scattering method

2011-02-25

arxiv.org/abs/1102.5255v1

J. Phys. A: Math. Theor. 44 (2011) 205305 (15pp)

Physics

Quantum Physics

16 pages, 1 figure

Scientific paper

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.

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