Questions in category: 物理 (Physics)

## 1. 薛定谔方程(Schrödinger equation)

Posted by haifeng on 2020-12-06 13:55:08 last update 2020-12-06 13:55:08 | Answers (0) | 收藏

$E=\frac{p^2}{2m}+V(r),$

\begin{aligned} E\rightarrow i\hbar\frac{\partial}{\partial t},\\ \vec{p}\rightarrow -i\hbar\nabla \end{aligned}

$i\hbar\frac{\partial}{\partial t}\psi=-\frac{\hbar^2}{2m}\mathrm{tr}\nabla^2\psi+V(r)\phi.$

References:

[1] 王正行  编著 《近代物理学》,  北京大学出版社.

## 2. 物理是否是数学的基础?

Posted by haifeng on 2020-12-02 20:03:08 last update 2020-12-02 20:04:52 | Answers (0) | 收藏

2020-12-2

## 3. 克莱因-戈登方程(Klein-Gordon equation)

Posted by haifeng on 2020-12-02 19:56:32 last update 2020-12-04 21:16:25 | Answers (1) | 收藏

$A(\vec{r},t)=A_0 e^{i(\vec{k}\cdot\vec{r}-\omega t)}$

$\frac{1}{c^2}\cdot\frac{\partial^2}{\partial t^2}A-\nabla^2 A=0.$

$\frac{\omega^2}{c^2}=k^2.$

$\frac{E^2}{c^2}=p^2$

Remark:

(1) 这里 $\nabla^2$ 应该是 $\mathrm{tr}\nabla^2$.

(2) $k=|\vec{k}|$. (参考书上 $\vec{k}$ 是粗体, 指波矢量, 而 $k$ 是该波矢量的模长.)

References:

## 4. 一些有意义的物理学文章

Posted by haifeng on 2020-11-25 12:08:41 last update 2020-11-25 12:08:41 | Answers (0) | 收藏