Recovering quantum graphs from their Bloch spectrum

Details Recovering quantum graphs from their Bloch spectrum Recovering quantum graphs from their Bloch spectrum

2011-01-31

arxiv.org/abs/1101.6002v2

Mathematics

Spectral Theory

Scientific paper

We define the Bloch spectrum of a quantum graph to be the collection of the spectra of a family of Schrodinger operators parametrized by the cohomology of the quantum graph. We show that the Bloch spectrum determines the Albanese torus, the block structure and the planarity of the graph. It determines a geometric dual of a planar graph. This enables us to show that the Bloch spectrum completely determines planar 3-connected quantum graphs.

Affiliated with

Also associated with

No associations

Rating

Recovering quantum graphs from their Bloch spectrum 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 Recovering quantum graphs from their Bloch spectrum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Recovering quantum graphs from their Bloch spectrum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648372