Semiclassical spectral estimates for Schrödinger operators at a critical energy level. Case of a degenerate potential

Details Semiclassical spectral estimates for Schrödinger operators at a critical energy level. Case of a degenerate potential Semiclassical spectral estimates for Schrödinger operators at a critical energy level. Case of a degenerate potential

2004-06-24

arxiv.org/abs/math-ph/0406058v2

Physics

Mathematical Physics

15 pages, minor changes

Scientific paper

We study the semi-classical trace formula at a critical energy level for a Schr\"odinger operator on $\mathbb{R}^{n}$. We assume here that the potential has a totally degenerate critical point associated to a local minimum. The main result, which computes the contribution of this equilibrium, is valid for all time in a compact and establishes the existence of a total asymptotic expansion whose top order coefficient depends only on the germ of the potential at the critical point.

Affiliated with

Also associated with

No associations

Rating

Semiclassical spectral estimates for Schrödinger operators at a critical energy level. Case of a degenerate 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 Semiclassical spectral estimates for Schrödinger operators at a critical energy level. Case of a degenerate potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical spectral estimates for Schrödinger operators at a critical energy level. Case of a degenerate potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-101945