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arXiv · 2010.05583

An application of a quantum wave impedance approach for solving a nonsymmetric single well problem

O. I. Hryhorchak
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Abstract

A short introduction of a relation between a Green's function and a quantum wave impedance function as well as its application to a determination of eigenenergies and eigenfunctions of a quatum-mechanical system is provided. Three different approaches, namely a classical approach based on a direct solving of a Shr\"{o}dinger equation, a transfer matrix method and a quantum wave impedance technique, for a calculation of eigenenergies and eigenfunctions of a quantum mechanical nonsymmetric single well system are considered. A comparision of these approaches gives the possibility to clarify advantages and drawbacks of each method which is useful especially for teaching and learning purposes.

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O. I. Hryhorchak. 2020-10-12. An application of a quantum wave impedance approach for solving a nonsymmetric single well problem. https://arxiv.org/abs/2010.05583

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