Diffractive orbits in isospectral billiards

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

20 pages, 6 figures

Scientific paper

10.1088/0305-4470/37/7/016

Isospectral domains are non-isometric regions of space for which the spectra of the Laplace-Beltrami operator coincide. In the two-dimensional Euclidean space, instances of such domains have been given. It has been proved for these examples that the length spectrum, that is the set of the lengths of all periodic trajectories, coincides as well. However there is no one-to-one correspondence between the diffractive trajectories. It will be shown here how the diffractive contributions to the Green functions match nevertheless in a ''one-to-three'' correspondence.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Diffractive orbits in isospectral billiards 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 Diffractive orbits in isospectral billiards, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffractive orbits in isospectral billiards will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-198970

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.