我们用r，θ，φ来表示,将算符作用于波函数,而且记住e仅仅是电子结合能，然后后面加上波函数。

So we have the operationon the wave function in terms of r, theta, and phi and remember this e is just our binding energy for the electron, and we get back out this wave function.

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连续变换光滑地衔接到单位算符。

The continuous transformation connects smoothly to the unit operator .

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我们把这种新文法称为扩张算符文法。

This new grammar we call an augmented operator grammar.

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STUDENT: What does it mean, the operator used, when you were calculating the remainder between nine and five?

学生：这是什么意思，当你用这个运算符去算,9除以5的余数的时候？

麻省理工公开课 - 计算机科学及编程导论课程节选

So here I've written for the hydrogen atom that deceptively simple form of the Schrodinger equation, where we don't actually write out the Hamiltonian operator, but you remember that's a series of second derivatives, so we have a differential equation that were actually dealing with.

这里我写出了,氢原子薛定谔方程的,最简单形式，这里我们实际上,没有写出哈密顿算符,但是请记住那你有，一系列的二次导数,所有我们实际上会处理一个微分方程。

麻省理工公开课 - 化学原理课程节选

What I want to point out also is that this h hat, the Hamiltonian operator written out for the simplest case we can even imagine, which is a hydrogen atom where we only have one electron that we're dealing with, and of course, one nucleus.

我也想指出的是，我们能想到的最简单情况,的哈密顿算符，是一个只有一个电子,也只有一个原子核的氢原子。

麻省理工公开课 - 化学原理课程节选