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

• URL: http://arxiv.org/abs/2010.10080v1
• Date: Tue, 20 Oct 2020 07:15:32 GMT
• Title: Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential
• Authors: O. I. Hryhorchak
• Abstract summary: An analytical solution for a quantum wave impedance in a case of piesewise constant potential was derived. The application of obtained results was illustrated on a system of double-well/barrier structures.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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