4 papers
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…
Ukrainian Visual Word Sense Disambiguation Benchmark
Yurii Laba, Yaryna Mohytych, Ivanna Rohulia +4
This study presents a benchmark for evaluating the Visual Word Sense Disambiguation (Visual-WSD) task in Ukrainian. The main goal of the Visual-WSD task is to identify, with minima…
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…