On the structure of the wave operators in one dimensional potential scattering

Details On the structure of the wave operators in one dimensional potential scattering On the structure of the wave operators in one dimensional potential scattering

2008-08-11

arxiv.org/abs/0808.1564v1

Physics

Mathematical Physics

20 pages

Scientific paper

In the framework of one dimensional potential scattering we prove that, modulo a compact term, the wave operators can be written in terms of a universal operator and of the scattering operator. The universal operator is related to the one dimensional Hilbert transform and can be expressed as a function of the generator of dilations. As a consequence, we show how Levinson's theorem can be rewritten as an index theorem, and obtain the asymptotic behaviour of the wave operators at high and low energy and at large and small scale.

Affiliated with

Also associated with

No associations

Rating

On the structure of the wave operators in one dimensional potential 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 On the structure of the wave operators in one dimensional potential scattering, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the structure of the wave operators in one dimensional potential scattering will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-493440