当前位置: X-MOL 学术Phys. Educ. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
How do I introduce Schrödinger equation during the quantum mechanics course?
Physics Education Pub Date : 2021-01-13 , DOI: 10.1088/1361-6552/abc8db
T Mart

In this paper I explain how I usually introduce the Schr\"odinger equation during the quantum mechanics course. My preferred method is the chronological one. Since the Schr\"odinger equation belongs to a special case of wave equations I start the course with introducing the wave equation. The Schr\"odinger equation is derived with the help of the two quantum concepts introduced by Max Planck, Einstein, and de Broglie, i.e., the energy of a photon $E=\hbar\omega$ and the wavelength of the de Broglie wave $\lambda=h/p$. Finally, the difference between the classical wave equation and the quantum Schr\"odinger one is explained in order to help the students to grasp the meaning of quantum wavefunction $\Psi({\bf r},t)$. A comparison of the present method to the approaches given by the authors of quantum mechanics textbooks as well as that of the original Nuffield A level is presented. It is found that the present approach is different from those given by these authors, except by Weinberg or Dicke and Wittke. However, the approach is in line with the original Nuffield A level one.

中文翻译:

如何在量子力学课程中介绍薛定谔方程?

在这篇论文中,我解释了我在量子力学课程中通常是如何介绍 Schr\"odinger 方程的。我的首选方法是按时间顺序排列的方法。由于 Schr\"odinger 方程属于波动方程的一种特殊情况,所以我从介绍开始课程波动方程。薛定谔方程是借助马克斯·普朗克、爱因斯坦和德布罗意引入的两个量子概念推导出来的,即光子的能量$E=\hbar\omega$和德布罗意波的波长$\lambda=h/p$。最后解释经典波动方程与量子Schr\"odinger one的区别,以帮助学生掌握量子波函数$\Psi({\bf r} ,t)$。介绍了当前方法与量子力学教科书作者提供的方法以及原始 Nuffield A level 方法的比较。发现目前的方法与这些作者给出的方法不同,除了 Weinberg 或 Dicke 和 Wittke。但是,该方法与最初的纳菲尔德 A 级一致。
更新日期:2021-01-13
down
wechat
bug