Schrödinger operators on armchair nanotubes. II

Details Schrödinger operators on armchair nanotubes. II Schrödinger operators on armchair nanotubes. II

2007-07-26

arxiv.org/abs/0707.3900v1

Mathematics

Spectral Theory

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 the absolutely continuous spectrum of the Schr\"odinger operator: 1) the multiplicity, 2) endpoints of the gaps, they are given by periodic or antiperiodic eigenvalues or resonances (branch points of the Lyapunov function), 3) resonance gaps, where the Lyapunov function is non-real. We determine the asymptotics of the gaps at high energy.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-40673