45 citations · 210 across the 16 of their papers we have counts for
4 papers · 1 filter
Non-Weyl resonance asymptotics for quantum graphs in a magnetic field
Pavel Exner, Jiri Lipovsky
We study asymptotical behaviour of resonances for a quantum graph consisting of a finite internal part and external leads placed into a magnetic field, in particular, the question…
On the absence of absolutely continuous spectra for Schrödinger operators on radial tree graphs
Pavel Exner, Jiri Lipovsky
The subject of the paper are Schrödinger operators on tree graphs which are radial having the branching number at all the vertices at the distance from the root. We con…
Non-Weyl asymptotics for quantum graphs with general coupling conditions
E. Brian Davies, Pavel Exner, Jiri Lipovsky
Inspired by a recent result of Davies and Pushnitski, we study resonance asymptotics of quantum graphs with general coupling conditions at the vertices. We derive a criterion for t…
Resonances from perturbations of quantum graphs with rationally related edges
Pavel Exner, Jiri Lipovsky
We discuss quantum graphs consisting of a compact part and semiinfinite leads. Such a system may have embedded eigenvalues if some edge lengths in the compact part are rationally r…