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math-ph2019
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…
math-ph2013★ 5 cited
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…