Reformulation of a transmission and reflection problems in terms of a quantum wave impedance function

• URL: http://arxiv.org/abs/2010.04682v2
• Date: Mon, 12 Oct 2020 09:47:55 GMT
• Title: Reformulation of a transmission and reflection problems in terms of a quantum wave impedance function
• Authors: O. I. Hryhorchak
• Abstract summary: The advantages of this approach were discussed and demonstrated for a case of a single rectangular barrier. The expressions for a reflection and a transmission coefficient were found on the base of a quantum wave impedance approach.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: On the base of a 1D Shr\"{o}dinger equation the non-linear first-order differential equation (Ricatti type) for a quantum wave impedance function was derived. The advantages of this approach were discussed and demonstrated for a case of a single rectangular barrier. Both the scattering and the bound states problem were reformulated in terms of a quantum wave impedance and its application for solving both these problems was considered. The expressions for a reflection and a transmission coefficient were found on the base of a quantum wave impedance approach.

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