Quantum wave impedance calculation for an arbitrary piesewise constant potential

• URL: http://arxiv.org/abs/2010.06263v1
• Date: Tue, 13 Oct 2020 10:06:17 GMT
• Title: Quantum wave impedance calculation for an arbitrary piesewise constant potential
• Authors: O. I. Hryhorchak
• Abstract summary: 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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