18 citations · 25 across the 4 of their papers we have counts for
4 papers
Generic properties of dispersion relations for discrete periodic operators
Ngoc T. Do, Peter Kuchment, Frank Sottile
An old problem in mathematical physics deals with the structure of the dispersion relation of the Schrödinger operator in with periodic potential near the edges of…
On resonant spectral gap opening in quantum graph networks
Ngoc T. Do, Peter Kuchment, Beng Ong
In this brief paper we present some results on creating and manipulating spectral gaps for a (regular) quantum graph by inserting appropriate internal structures into its vertices.…
On the quantum graph spectra of graphyne nanotubes
Ngoc Do
We describe explicitly the dispersion relations and spectra of periodic Schrodinger operators on a graphyne nanotube structure.
Quantum graph spectra of a graphyne structure
Ngoc T. Do, Peter Kuchment
We study the dispersion relations and spectra of invariant Schrödinger operators on a graphyne structure (lithographite). In particular, description of different parts of the spect…