Schrödinger operators on armchair nanotubes. I

Details Schrödinger operators on armchair nanotubes. I Schrödinger operators on armchair nanotubes. I

2007-07-26

arxiv.org/abs/0707.3909v1

Physics

Mathematical Physics

17 pages

Scientific paper

We consider the Schr\"odinger operator with a periodic potential on quasi-1D models of armchair single-wall nanotubes. The spectrum of this operator consists of an absolutely continuous part (intervals separated by gaps) plus an infinite number of eigenvalues with infinite multiplicity. We describe all eigenfunctions with the same eigenvalue. We define a Lyapunov function, which is analytic on some Riemann surface. On each sheet, the Lyapunov function has the same properties as in the scalar case, but it has branch points, which we call resonances. In example we show the existence of real and complex resonances for some specific potentials.

Affiliated with

Also associated with

No associations

Rating

Schrödinger operators on armchair nanotubes. I 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 Schrödinger operators on armchair nanotubes. I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schrödinger operators on armchair nanotubes. I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-40726