Reformulation of a transmission and reflection problems in terms of a quantum wave impedance function

OI Hryhorchak - arXiv preprint arXiv:2010.04682, 2020 - arxiv.org
On the base of a 1D Shr\"{o} dinger equation the non-linear first-order differential equation
(Ricatti type) for a quantum wave impedance function was derived. The advantages of this …

Resonant tunneling current calculations using the transmission matrix method

Y Zebda, AM Kan'an - Journal of applied physics, 1992 - pubs.aip.org
A solution of resonant tunneling problem in multilayered heterostructures is presented
based on the quantum mechanical wave impedance concept. The transmission matrix is …

Application of a quantum wave impedance method for study of infinite and semi-infinite periodic media

OI Hryhorchak - arXiv preprint arXiv:2010.07632, 2020 - arxiv.org
This paper is dedicated to an application of a quantum wave impedance approach for a
study of infinite and semi-infinite periodic systems. Both a Dirac comb and a $\delta-\delta' …

Equivalent network approach for guided electron waves in quantum-well structures and its application to electron-wave directional couplers

R Kaji, M Koshiba - IEEE journal of quantum electronics, 1994 - ieeexplore.ieee.org
By utilizing an analogy in electromagnetic wave propagation, an equivalent network
procedure is described for guided electron waves in quantum-well structures. It relies …

Resonant tunneling, eigenvalue and energy band calculation for potential and periodic potential structures

H Yong-Zhen, W Chi-Ming - Applied Physics A, 1992 - Springer
Recursion formulae for the reflection and the transmission probability amplitudes and the
eigenvalue equation for multistep potential structures are derived. Using the recursion …

Circuit theoretical approach for the quantum wells and periodic potentials

H Sanada, N Nagai, N Ohtani… - … and Communications in …, 1994 - Wiley Online Library
Abstract circuit‐theoretical treatment has been investigated as a systematic and easy
method to obtain a guideline for the analysis and design of energy levels by quantum wells …

Equivalent network approach for electron wave propagation and its applications

R Kaji, K Hayata, M Koshiba - Electronics and Communications …, 1992 - Wiley Online Library
With a view to exploring the analysis and design method which provides a good engineering
perspective for electron wave devices using the quantum effect phenomena, the electron …

Finite periodic comb

OI Hryhorchak, VS Pastukhov - arXiv preprint arXiv:2010.12262, 2020 - arxiv.org
A finit periodic $\delta-\delta'$ comb was solved by the help of both classical approach
based on a direct solving of a Sr\"{odinger} equation and a quantum wave impedance …

Solving the one‐dimensional quantum mechanics problems using the matter wave multireflection

W Polak - Journal of applied physics, 1993 - pubs.aip.org
This article presents a simple, yet general and exact analytic‐numerical method of solving
one‐dimensional quantum mechanics problems. It is based on the concept of dividing an …

Volume integral equation for analysis of quantum electron waveguide circuits

K Tanaka, Y Yoshino, H Ootera - … and Communications in …, 1994 - Wiley Online Library
This paper derives the volume integral equation that becomes a foundation for a CAD for
electron waveguide circuits with complicated geometry. the derived integral equation can be …