200 citations · 1k across the 51 of their papers we have counts for
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math-ph2019★ 18 cited
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-ph2019
Spectra of "fattened" open book structures
James E. Corbin, Peter Kuchment
We establish convergence of spectra of Neumann Laplacian in a thin neighborhood of a branching 2D structure in 3D to the spectrum of an appropriately defined operator on the struct…
math-ph2019★ 5 cited
Analyticity of the spectrum and Dirichlet-to-Neumann operator technique for quantum graphs
Peter Kuchment, Jia Zhao
In some previous works, the analytic structure of the spectrum of a quantum graph operator as a function of the vertex conditions and other parameters of the graph was established.…