64 citations · 219 across the 45 of their papers we have counts for
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math.SP2018★ 1 cited
An index theorem for Schrödinger operators on metric graphs
Yuri Latushkin, Selim Sukhtaiev
We show that the spectral flow of a one-parameter family of Schrödinger operators on a metric graph is equal to the Maslov index of a path of Lagrangian subspaces describing the ve…
math.SP2018★ 48 cited
Limits of Quantum Graph Operators With Shrinking Edges
Gregory Berkolaiko, Yuri Latushkin, Selim Sukhtaiev
We address the question of convergence of Schrödinger operators on metric graphs with general self-adjoint vertex conditions as lengths of some of graph's edges shrink to zero. We…