Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds
Complex Variables
2013-11-28 v2 Mathematical Physics
math.MP
Abstract
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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Cite
@article{arxiv.0809.3589,
title = {Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds},
author = {Iryna Egorova and Gerald Teschl},
journal= {arXiv preprint arXiv:0809.3589},
year = {2013}
}
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9 pages