activity
20022024
most citedDiscrete kink dynamics in hydrogen-bonded chains I: The one-component model

23 citations · 59 across the 6 of their papers we have counts for

collaborators

6 papers

quant-ph2024

Influence of a squeezed prewell on tunneling properties and bound states in heterostructures

Yaroslav Zolotaryuk, Alexander V. Zolotaryuk

A resonant tunneling effect of an extremely thin potential well on the transmission of charged particles through a planar heterostructure with an arbitrary potential profile is inv…

quant-ph2023★ 5 cited

Bound states of a one-dimensional Dirac equation with multiple delta-potentials

V. P. Gusynin, O. O. Sobol, A. V. Zolotaryuk +1

Two approaches are developed for the study of the bound states of a one-dimensional Dirac equation with the potential consisting of -function centers. One of these uses the…

quant-ph2021

Conditions for realizing one-point interactions from a multi-layer structure model

Alexander V. Zolotaryuk, Yaroslav Zolotaryuk

A heterostructure composed of parallel homogeneous layers is studied in the limit as their widths shrink to zero. The problem is investigated in one dimensi…

quant-ph2019★ 13 cited

Point interactions with bias potentials

A. V. Zolotaryuk, G. P. Tsironis, Y. Zolotaryuk

We develop an approach on how to define single-point interactions under the application of external fields. The essential feature relies on an asymptotic method based on the one-po…

nlin.PS2018★ 18 cited

Nonlinear waves in a model for silicate layers

Juan F. R. Archilla, Yaroslav Zolotaryuk, Yuriy A. Kosevich +1

Some layered silicates are composed of positive ions, surrounded by layers of ions with opposite sign. Mica muscovite is a particularly interesting material, because there exist fo…

nlin.PS2002★ 23 cited

Discrete kink dynamics in hydrogen-bonded chains I: The one-component model

V. M. Karpan, Y. Zolotaryuk, P. L. Christiansen +1

We study topological solitary waves (kinks and antikinks) in a nonlinear one-dimensional Klein-Gordon chain with the on-site potential of a double-Morse type. This chain is used to…