论文标题
如何在量子力学课程中介绍Schrödinger方程？
How do I introduce Schrödinger equation during the quantum mechanics course?
论文作者
论文摘要
在本文中，我解释了在量子力学课程中通常如何介绍Schrödinger方程。我首选的方法是按时间顺序排列的方法。由于Schrödinger方程属于波动方程的特殊情况，因此我从引入波方程的过程中开始课程。 Schrödinger方程是在Max Planck，Einstein和de Broglie引入的两个量子概念的帮助下得出的，即光子$ e = \hbarΩ$的能量以及de Broglie Wave wave $λ= H/p $的波长。最后，为了帮助学生掌握量子波函数$ψ（{\ bf r}，t）$的含义。当前方法与量子力学教科书的作者以及原始Nuffield A级别的作者的方法进行了比较。发现除了温伯格，迪克和维特克以外，目前的方法与这些作者给出的方法不同。但是，该方法与原始的Nuffield A级别一致。
In this paper I explain how I usually introduce the Schrödinger equation during the quantum mechanics course. My preferred method is the chronological one. Since the Schrödinger equation belongs to a special case of wave equations I start the course with introducing the wave equation. The Schrödinger 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 $E=\hbarω$ and the wavelength of the de Broglie wave $λ=h/p$. Finally, the difference between the classical wave equation and the quantum Schrödinger one is explained in order to help the students to grasp the meaning of quantum wavefunction $Ψ({\bf r},t)$. 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.
