3 citations · 5 across the 3 of their papers we have counts for
3 papers
math-ph2023★ 2 cited
Magnetic square lattice with vertex coupling of a preferred orientation
Marzieh Baradaran, Pavel Exner, Jiří Lipovský
We analyze a square lattice graph in a magnetic field assuming that the vertex coupling is of a particular type violating the time reversal invariance. Calculating the spectrum num…
math-ph2018★ 3 cited
Smilansky-Solomyak model with a -interaction
Pavel Exner, Jiří Lipovský
We investigate a strongly singular version of the model of irreversible dynamics proposed by Smilansky and Solomyak in which the interaction responsible for an abrupt change of the…
math-ph2006
Equivalence of resolvent and scattering resonances on quantum graphs
Pavel Exner, Jiří Lipovský
We discuss resonances for Schrödinger operators on metric graphs which consists of a finite compact part and a finite number of halflines attached to it; the vertex coupling is ass…