A novel approach to estimate the stability of one-dimensional quantum inverse scattering

Details A novel approach to estimate the stability of one-dimensional quantum inverse scattering A novel approach to estimate the stability of one-dimensional quantum inverse scattering

1998-08-20

arxiv.org/abs/math-ph/9808008v2

Physics

Mathematical Physics

10 pages Latex, figures available upon request or on http://asterix.urc.tue.nl/~elechd/abstr13.html

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A novel approach to estimate the stability of one-dimensional quantum inverse scattering does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A novel approach to estimate the stability of one-dimensional quantum inverse scattering, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A novel approach to estimate the stability of one-dimensional quantum inverse scattering will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-265623