Resonances for steplike potentials: forward and inverse results

Details Resonances for steplike potentials: forward and inverse results Resonances for steplike potentials: forward and inverse results

2003-05-23

arxiv.org/abs/math/0305335v1

Mathematics

Spectral Theory

16 pages; submitted

Scientific paper

We consider resonances associated to the operator $-\frac{d^2}{dx^2}+V(x)$,
where $V(x)=V_+$ if $x>x_M$ and $V(x)=V_-$ if $x<-x_M$, with $V_+\not = V_-$.
We obtain asymptotics of the resonance-counting function in several regions.
Moreover, we show that in several situations, the resonances, $V_+$, and $V_-$
determine $V$ uniquely up to translation.

Affiliated with

Also associated with

No associations

Rating

Resonances for steplike potentials: forward and inverse results 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 Resonances for steplike potentials: forward and inverse results, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resonances for steplike potentials: forward and inverse results will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-133603