Quantum wave impedance calculation for an arbitrary piesewise constant potential
Quantum Physics
2020-10-14 v1
Abstract
The method of a determination of a quantum wave impedance for an arbitrary piecewise constant potential was developed. On the base of this method both the well-known iterative formula \cite{Khondker_Khan_Anwar:1988} and alternative ways for a quantum wave impedance calculation were derived. A scattering and a bound state case were considered. The general form of a wave function of bound states for an arbitrary piesewise constant potential was obtained as well as transmission and reflection coefficients in a scattering case. The applying of method was demonstarted on the system of double well/barrier.
Keywords
Cite
@article{arxiv.2010.06263,
title = {Quantum wave impedance calculation for an arbitrary piesewise constant potential},
author = {O. I. Hryhorchak},
journal= {arXiv preprint arXiv:2010.06263},
year = {2020}
}
Comments
11 pages, 1 figure