A semi-classical trace formula at a non-degenerate critical level

Details A semi-classical trace formula at a non-degenerate critical level A semi-classical trace formula at a non-degenerate critical level

2006-03-18

arxiv.org/abs/math/0603456v1

Journal of Functional Analysis. Volume 208, Issue 2 , 15 March 2004, Pages 446-481

Mathematics

Analysis of PDEs

Repost of a paper published in 2004. 35 pages

Scientific paper

10.1016/S0022-1236(03)00102-2

We study the semi-classical trace formula at a critical energy level for a $h$-pseudo-differential operator whose principal symbol has a unique non-degenerate critical point for that energy. This leads to the study of Hamiltonian systems near equilibrium and near the non-zero periods of the linearized flow. The contributions of these periods to the trace formula are expressed in terms of degenerate oscillatory integrals. The new results obtained are formulated in terms of the geometry of the energy surface and the classical dynamics on this surface.

Affiliated with

Also associated with

No associations

Rating

A semi-classical trace formula at a non-degenerate critical level 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 A semi-classical trace formula at a non-degenerate critical level, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A semi-classical trace formula at a non-degenerate critical level will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-170523