37 citations · 174 across the 26 of their papers we have counts for
27 papers
Spectral problems on open-book structures with singularly perturbed density: the limit operator
Yuriy Golovaty, Delfina Gòmez, Maria-Eugenia Pèrez-Martìnez
We investigate the spectral problem arising in the asymptotic analysis of vibrations of open-book structures with a mass density perturbed near the binding. The limiting problem is…
Scattering in Quantum Graphs with Scale-Invariant Vertex Couplings: Resonances, Gaps and (Quasi-)Periodic Transmission
Khrystyna Buhrii, Yuriy Golovaty, Rostyslav Hryniv
We study scattering on quantum graphs that consist of a channel with periodically attached resonators under scale-invariant vertex couplings. For this model, we derive explicit for…
On eigenvibrations of branched structures with heterogeneous mass density
Yuriy Golovaty, Delfina Gómez, Maria-Eugenia Pérez-Martínez
We deal with a spectral problem for the Laplace-Beltrami operator posed on a stratified set which is composed of smooth surfaces joined along a line , the junction. Through…
On negative eigenvalues of 1D Schrödinger operators with -like potentials
Yuriy Golovaty, Rostyslav Hryniv
In this paper, we investigate negative eigenvalues of exactly solvable quantum models, particularly one-dimensional Hamiltonians with -like potentials used to represent localiz…
Transmission resonances in scattering by -like combs
Yuriy Golovaty, Rostyslav Hryniv, Stanislav Lavrynenko
We introduce a new exactly solvable model in quantum mechanics that describes the propagation of particles through a potential field created by regularly spaced -type point int…
Quantum graphs: Coulomb-type potentials and exactly solvable models
Yuriy Golovaty
We study the Schrödinger operators on a non-compact star graph with the Coulomb-type potentials having singularities at the vertex. The convergence of regularized Hamiltonians $H_\…