49 citations · 169 across the 17 of their papers we have counts for
17 papers
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…
Bound states and point interactions of the one-dimensional pseudospin-one Hamiltonian
A. V. Zolotaryuk, Y. Zolotaryuk, V. P. Gusynin
The spectrum of a one-dimensional pseudospin-one Hamiltonian with a three-component potential is studied for two configurations: (i) all the potential components are constants over…
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…
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…
Scattering data and bound states of a squeezed double-layer structure
Alexander V. Zolotaryuk, Yaroslav Zolotaryuk
A heterostructure composed of two parallel homogeneous layers is studied in the limit as their widths and , and the distance between them shrinks to zero simultaneou…
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…