Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential
Quantum Physics
2020-10-21 v1
Abstract
An analytical solution for a quantum wave impedance in a case of piesewise constant potential was derived. It is in fact an analytical depiction of a well-known iterative method of a quantum wave impedance determination. The expression for a transmission probability as a function of a particle energy for an arbitrary cascad of constant potentials was obtained. The application of obtained results was illustrated on a system of double-well/barrier structures.
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Cite
@article{arxiv.2010.10080,
title = {Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential},
author = {O. I. Hryhorchak},
journal= {arXiv preprint arXiv:2010.10080},
year = {2020}
}
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8 pages