Modes and quasi-modes on surfaces: variation on an idea of Andrew Hassell

Details Modes and quasi-modes on surfaces: variation on an idea of Andrew Hassell Modes and quasi-modes on surfaces: variation on an idea of Andrew Hassell

2009-02-12

arxiv.org/abs/0902.2095v1

Physics

Mathematical Physics

Scientific paper

This paper is inspired from the nice result of Andrew Hassell on the eigenfunctions in the stadium billiard. From a classical paper of V. Arnol'd, we know that quasi-modes are not always close to exact modes. We show that, for almost all Riemannian metrics on closed surfaces with an elliptic generic closed geodesic C, there exists exact modes located on C. Related problems in the integrable case are discussed in several papers of John Toth and Steve Zelditch.

Affiliated with

Also associated with

No associations

Rating

Modes and quasi-modes on surfaces: variation on an idea of Andrew Hassell 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 Modes and quasi-modes on surfaces: variation on an idea of Andrew Hassell, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modes and quasi-modes on surfaces: variation on an idea of Andrew Hassell will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556377