Reconstruction of the Transmission Coefficient for Steplike Finite-Gap Backgrounds
arXiv:0809.3589 · doi:10.7153/oam-03-11
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.
arXiv comment9 pages