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arXiv · 2010.10080

Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential

O. I. Hryhorchak
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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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O. I. Hryhorchak. 2020-10-20. Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential. https://arxiv.org/abs/2010.10080

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