Dispersive estimate for the Schroedinger equation with point interactions

Details Dispersive estimate for the Schroedinger equation with point interactions Dispersive estimate for the Schroedinger equation with point interactions

2005-09-29

arxiv.org/abs/math/0509704v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

10.1002/mma.682

We consider the Schroedinger operator in R^3 with N point interactions placed at Y=(y_1, ... ,y_N), y_j in R^3, of strength a=(a_1, ... ,a_N). Exploiting the spectral theorem and the rather explicit expression for the resolvent we prove a (weighted) dispersive estimate for the corresponding Schroedinger flow. In the special case N=1 the proof is directly obtained from the unitary group which is known in closed form.

Affiliated with

Also associated with

No associations

Rating

Dispersive estimate for the Schroedinger equation with point interactions 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 Dispersive estimate for the Schroedinger equation with point interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dispersive estimate for the Schroedinger equation with point interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-683115