A novel approach to estimate the stability of one-dimensional quantum inverse scattering
Dorren, H. J. S.
arXiv, 9808008 / Harvested from arXiv
Text on arXiv
We present a novel method to estimate the stability of the Marchenko equation for finite data-sets. We show that we can derive a recursion relationship for the Fourier expansion coefficients of the kernel which is solved by the Marchenko equation. The method can easily be implemented numerically. Moreover, we discus the stability of the one-dimensional inverse scattering problem by using Lyapunov exponents. We give conditions on the scattering data to provide stable inversion results. A numerical example is given.
Publié le : 1998-08-20
Classification:  Mathematical Physics,  Mathematics - Numerical Analysis 
@article{9808008,
     author = {Dorren, H. J. S.},
     title = {A novel approach to estimate the stability of one-dimensional quantum
  inverse scattering},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9808008}
}

Dorren, H. J. S. A novel approach to estimate the stability of one-dimensional quantum
  inverse scattering. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9808008/