Spectral gap of segments of periodic waveguides

Details Spectral gap of segments of periodic waveguides Spectral gap of segments of periodic waveguides

2006-08-02

arxiv.org/abs/math-ph/0608005v2

Physics

Mathematical Physics

3 pages

Scientific paper

10.1007/s11005-006-0111-5

We consider a periodic strip in the plane and the associated quantum waveguide with Dirichlet boundary conditions. We analyse finite segments of the waveguide consisting of $L$ periodicity cells, equipped with periodic boundary conditions at the ``new'' boundaries. Our main result is that the distance between the first and second eigenvalue of such a finite segment behaves like $L^{-2}$.

Affiliated with

Also associated with

No associations

Rating

Spectral gap of segments of periodic waveguides 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 Spectral gap of segments of periodic waveguides, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral gap of segments of periodic waveguides will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-264742