39 citations · 39 across the 3 of their papers we have counts for
3 papers
math.SP2026
Directional Ballistic Transport in Quantum Waveguides
Adam Black, David Damanik, Peter Kuchment +2
We study the transport properties of Schrödinger operators on with potentials that are periodic in some directions and compactly supported in the others. Such system…
math-ph2024
On open book analogs of quantum graphs
Setenay Akduman, Peter Kuchment
Quantum graphs have become in this century a favorite playground for mathematicians, mathematical physicists, and chemists, due to their manifold applications as models of thin str…
math.SP2007★ 39 cited
Index theorems for quantum graphs
S. A. Fulling, P. Kuchment, J. H. Wilson
In geometric analysis, an index theorem relates the difference of the numbers of solutions of two differential equations to the topological structure of the manifold or bundle conc…