7 citations · 7 across the 7 of their papers we have counts for
7 papers
Spectral statistics of preferred orientation quantum graphs
Ram Band, Pavel Exner, Divya Goel +1
We study the spectral statistics of quantum (metric) graphs whose vertices are equipped with preferred orientation vertex conditions. When comparing their spectral statistics to th…
The Flea on the Magnetic Elephant
Pavel Exner, Léo Morin
We investigate a two-dimensional magnetic Laplacian with two radially symmetric magnetic wells. Its spectral properties are determined by the tunneling between them. If the tunneli…
First order operators on shrinking graph-like spaces
Pavel Exner, Olaf Post
In this article we discuss the convergence of first order operators on a thickened graph (a graph-like space) towards a similar operator on the underlying metric graph. On the grap…
Optimization of quantum graph eigenvalues with preferred orientation vertex conditions
Pavel Exner, Jonathan Rohleder
We discuss Laplacian spectrum on a finite metric graph with vertex couplings violating the time-reversal invariance. For the class of star graphs we determine, under the condition…
Spectral properties of hexagonal lattices with the -R coupling
Pavel Exner, Jan Pekař
We analyze the spectrum of the hexagonal lattice graph with a vertex coupling which manifestly violates the time reversal invariance and at high energies it asymptotically decouple…
Vertex coupling interpolation in quantum chain graphs
Pavel Exner, Jan Pekař
We analyze band spectrum of the periodic quantum graph in the form of a chain of rings connected by line segments with the vertex coupling which violates the time reversal invarian…