论文标题

Numerov方法应用于使用Python的简单量子系统的应用

Applications of the Numerov method to simple quantum systems using Python

论文作者

Caruso, Francisco, Oguri, Vitor, Silveira, Felipe

论文摘要

Numerov的数值方法是通过在其{\ it Jupyter笔记本}中使用Python在三种不同的量子物理系统中使用Python开发的:由摩尔斯电位和量子点控制的分子。在对Numerov方法进行了简要介绍之后,提供了完整的代码,以计算氢原子的特征值和特征值。续集还提供了必要的代码更改以计算其他两个示例。

Numerov's numerical method is developed in a didactic way by using Python in its {\it Jupyter Notebook} version 6.0.3 for three different quantum physical systems: the hydrogen atom, a molecule governed by the Morse potential and for a quantum dot. After a brief introduction to the Numerov method, the complete code to calculate the eigenfunctions and eigenvalues of the hydrogen atom is presented. The necessary code changes to calculate the other two examples are also provided in the sequel.

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