Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds

Details Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds

2008-09-21

arxiv.org/abs/0809.3589v2

Oper. Matrices 3, 205-214 (2009)

Mathematics

Complex Variables

9 pages

Scientific paper

We consider scattering theory for one-dimensional Jacobi operators with
respect to steplike quasi-periodic finite-gap backgrounds and show how the
transmission coefficient can be reconstructed from minimal scattering data.
This generalizes the Poisson-Jensen formula for the classical constant
background case.

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