Resolvent and scattering matrix at the maximum of the potential

Details Resolvent and scattering matrix at the maximum of the potential Resolvent and scattering matrix at the maximum of the potential

2007-11-06

arxiv.org/abs/0711.0879v1

Mathematics

Analysis of PDEs

31 pages, 3 figures

Scientific paper

We study the microlocal structure of the resolvent of the semi-classical Schrodinger operator with short range potential at an energy which is a unique non-degenerate global maximum of the potential. We prove that it is a semi-classical Fourier integral operator quantizing the incoming and outgoing Lagrangian submanifolds associated to the fixed hyperbolic point. We then discuss two applications of this result to describing the structure of the spectral function and the scattering matrix of the Schrodinger operator at the critical energy.

Affiliated with

Also associated with

No associations

Rating

Resolvent and scattering matrix at the maximum of the 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 Resolvent and scattering matrix at the maximum of the potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resolvent and scattering matrix at the maximum of the potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-134520