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?
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。
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。
And h with the carrot or the hat here, well, that carrot or hat tell us it must be an operator, and this is called the Hamiltonian operator.
而且带帽的H,好,这个帽告诉我们它肯定是一个算符,这个被称为哈密顿算符。
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.
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。
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