Function spaces associated with Schroedinger operators: the Poeschl-Teller potential

Details Function spaces associated with Schroedinger operators: the Poeschl-Teller potential Function spaces associated with Schroedinger operators: the Poeschl-Teller potential

2005-09-27

arxiv.org/abs/math/0509642v1

Mathematics

Analysis of PDEs

28 pages

Scientific paper

We address the function space theory associated with the Schroedinger operator H. The discussion is featured with the Poeschl-Teller potential in quantum physics. Using biorthogonal dyadic system, we introduce Besov spaces and Triebel-Lizorkin spaces (including Sobolev spaces) associated with H. We then use interpolation method to identify these spaces with the classical ones for a certain range of p,q> 1. A physical implication is that the corresponding wave function $\psi(t,x)=e^{-i t H }f(x)$ admits appropriate time decay in the Besov space scale.

Affiliated with

Also associated with

No associations

Rating

Function spaces associated with Schroedinger operators: the Poeschl-Teller potential 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 Function spaces associated with Schroedinger operators: the Poeschl-Teller potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Function spaces associated with Schroedinger operators: the Poeschl-Teller potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-224809