论文标题

量子波阻抗方法的应用解决非对称单井问题

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

论文作者

Hryhorchak, O. I.

论文摘要

简短地介绍了绿色功能与量子波阻抗函数之间的关系,以及其应用于确定Quatum Mechanical System的特征力和本征函数的应用。三种不同的方法,即基于shrödinger方程的直接求解,转移矩阵方法和量子波阻抗技术的经典方法,以计算量子机械非机械非对称单对称单孔系统的特征力和征征。对这些方法的比较,可以阐明每种方法的优势和缺点,这对于教学目的尤其有用。

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 Shrödinger 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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