Spectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances

Details Spectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances Spectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances

2009-08-24

arxiv.org/abs/0908.3444v1

Mathematics

Analysis of PDEs

43 pages, 4 figures

Scientific paper

We study the spectral projection associated to a barrier-top resonance for the semiclassical Schrodinger operator. First, we prove a resolvent estimate for complex energies close to such a resonance. Using that estimate and an explicit representation of the resonant states, we show that the spectral projection has a semiclassical expansion in integer powers of h, and compute its leading term. We use this result to compute the residue of the scattering amplitude at such a resonance. Eventually, we give an expansion for large times of the Schrodinger group in terms of these resonances.

Affiliated with

Also associated with

No associations

Rating

Spectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances 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 Spectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral projection, residue of the scattering amplitude, and Schrodinger group expansion for barrier-top resonances will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-698875