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Open Quantum Systems Decoherence
Quantum wave impedance calculation for an arbitrary piesewise constant potential
arXiv
Authors: O. I. Hryhorchak
Year
2020
Paper ID
19999
Status
Preprint
Abstract Read
~2 min
Abstract Words
95
Citations
N/A
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.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- The method of a determination of a quantum wave impedance for an arbitrary piecewise constant potential was developed.
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