45 citations · 63 across the 2 of their papers we have counts for
5 papers
Topological bulk-edge effects in quantum graph transport
Pavel Exner, Jiri Lipovsky
We examine quantum transport in periodic quantum graphs with a vertex coupling non-invariant with respect to time reversal. It is shown that the graph topology may play a decisive…
The determinant of one-dimensional polyharmonic operators of arbitrary order
Pedro Freitas, Jiří Lipovský
We obtain an explicit expression for the regularised spectral determinant of the polyharmonic operator on with Dirichlet boundary conditi…
Spectral asymptotics of the Laplacian on Platonic solids graphs
Pavel Exner, Jiri Lipovsky
We investigate the high-energy eigenvalue asymptotics quantum graphs consisting of the vertices and edges of the five Platonic solids considering two different types of the vertex…
Non-Weyl Microwave Graphs
Michał Ławniczak, Jiří Lipovský, Leszek Sirko
One of the most important characteristics of a quantum graph is the average density of resonances, , where denotes the length of the graph. Th…
Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential
B. C. Lütfüoğlu, J. Lipovský, J. Kříž
Recently, it has been shown that the generalized symmetric Woods-Saxon potential energy, in which surface interaction terms are taken into account, describes the physical processes…