Zobrazeno 1 - 10
of 187
pro vyhledávání: '"ZOLOTARYUK, A. V."'
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 investigated in a squeezing limit as the well width tends to zero. In thi
Externí odkaz:
http://arxiv.org/abs/2407.01156
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 the whole coordinate space and (ii) the profile of some components is
Externí odkaz:
http://arxiv.org/abs/2310.17934
Publikováno v:
Published in Low Temp. Phys. 48, 1022 (2022); https://pubs.aip.org/aip/ltp/article-abstract/48/12/1022/2843799/
Two approaches are developed for the study of the bound states of a one-dimensional Dirac equation with the potential consisting of $N$ $\delta$-function centers. One of these uses the Green's function method. This method is applicable to a finite nu
Externí odkaz:
http://arxiv.org/abs/2309.00856
A heterostructure composed of $N$ parallel homogeneous layers is studied in the limit as their widths $l_1, \ldots , l_N$ shrink to zero. The problem is investigated in one dimension and the piecewise constant potential in the Schr\"{o}dinger equatio
Externí odkaz:
http://arxiv.org/abs/2112.08510
A heterostructure composed of two parallel homogeneous layers is studied in the limit as their widths $l_1$ and $l_2$, and the distance between them $r$ shrinks to zero simultaneously. The problem is investigated in one dimension and the squeezing po
Externí odkaz:
http://arxiv.org/abs/2011.11437
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-point approximation of multi-layered heterostructures that are subject t
Externí odkaz:
http://arxiv.org/abs/1906.03405
Autor:
Zolotaryuk, A. V.
Publikováno v:
Physica E: Low-dimensional Systems and Nanostructures 103 (2018) 81-86
The physical interpretation of the appearance of resonant transmission through single-point barriers is discussed on the basis of a double-layer heterostructure in the squeezing limit as both the thickness of the layers and the distance between them
Externí odkaz:
http://arxiv.org/abs/1808.01661
Autor:
Zolotaryuk, A. V.
Publikováno v:
Annals of Physics 396 (2018) 479-494
The so-called $\delta'$-interaction as a particular example in Kurasov's distribution theory developed on the space of discontinuous (at the point of singularity) test functions, is identified with the diagonal transmission matrix, {\em continuously}
Externí odkaz:
http://arxiv.org/abs/1808.01657
Autor:
Zolotaryuk, A. V.
Several families of one-point interactions are derived from the system consisting of two and three $\delta$-potentials which are regularized by piecewise constant functions. In physical terms such an approximating system represents two or three extre
Externí odkaz:
http://arxiv.org/abs/1702.07123
Autor:
Zolotaryuk, A. V.
Families of one-point interactions are derived from the system consisting of regularized two- and three-delta potentials using different paths of the convergence of corresponding transmission matrices in the squeezing limit. This limit is controlled
Externí odkaz:
http://arxiv.org/abs/1610.07288