From the 1 of 5 linked papers with an AI index.
5 papers
Spectral problems on open-book structures with singularly perturbed density: the limit operator
Yuriy Golovaty, Delfina Gòmez, Maria-Eugenia Pèrez-Martìnez
The paper studies how the vibration spectrum of open‑book structures changes when the mass density is sharply perturbed near the binding, showing that the limiting operator is non‑…
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 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 locali…
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 in…
On eigenvibrations of branched structures with heterogeneous mass density
Yuriy Golovaty, Delfina Gómez, Maria-Eugenia Pérez-MartÃnez
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. Throug…