6 citations · 6 across the 5 of their papers we have counts for
5 papers
Quantum graph resonances by cut-off technique
Pavel Exner, Jiří Lipovský, Jan Pekař
We demonstrate how resonances in a quantum graph consisting of a compact core and semi-infinite leads can be identified from the eigenvalue behavior of the cut-off system.
The role of the branch cut of the logarithm in the definition of the spectral determinant for non-selfadjoint operators
Jiří Lipovský, Tomáš Macháček
The spectral determinant is usually defined using the spectral zeta function that is meromorphically continued to zero. In this definition, the complex logarithms of the eigenvalue…
Spectral transition model with the general contact interaction
Pavel Exner, Jiří Lipovský
Using a technique introduced by Sergei Naboko, we analyze a generalization of the parameter-controlled model of spectral transition, originally proposed by Smilansky and Solomyak,…
Application of quotient graph theory to three-edge star graphs
Vladimír Ježek, Jiří Lipovský
We apply the quotient graph theory described by Band, Berkolaiko, Joyner and Liu to particular graphs symmetric with respect to and symmetry groups. We find the quotien…
Spectral determinant for the damped wave equation on an interval
Pedro Freitas, Jiří Lipovský
We evaluate the spectral determinant for the damped wave equation on an interval of length with Dirichlet boundary conditions, proving that it does not depend on the damping. T…