And, if we do so, we can actually get a handle on that Born exponent by solving the equation.
如果我们这样做,我们实际上能够得到波恩指数,通过解这个方程得到。
We looked at the wave functions, we know the other part of solving the Schrodinger equation is to solve for the binding energy of electrons to the nucleus, so let's take a look at those.
我们看过波函数,我们知道解,薛定谔方程的其他部分,就是解对于原子核的电子结合能,所以我们来看一看。
All right. So that's all I'm going to say today in terms of solving the energy part of the Schrodinger equation, so what we're really going to focus on is the other part of the Schrodinger equation, psi which is solving for psi.
好,今天关于薛定谔方程,能量部分的解,就讲这么多,我们今天真正要关注的,是另一部分,薛定谔方程,也就是解。
You won't have to solve it in this class, you can wait till you get to 18.03 to start solving these types of differential equations, and hopefully, you'll all want the pleasure of actually solving the Schrodinger equation at some point. So, just keep taking chemistry, 18 03 you'll already have had 18.03 by that point and you'll have the opportunity to do that.
你们不用在课堂上就解它,你们可以等到得到18,03之后,再开始解这些类型的微分方程,希望你们都想得到,实际解薛定谔方程的乐趣,所以,保持来上化学课,你们在那个点将会得到,你们有机会做到的。
psi So we're going to for psi, and before that, we're going to figure out that instead of n just that one quantum number n, we're going to have a few other quantum numbers that fall out of solving the Schrodinger equation for what psi is.
我们要讲到,但在这之前,我们已经知道了,主量子数,现在我们需要知道,其他一些,解psi的薛定谔方程,所需要的量子数。
So as I tried to say on the board, we can have n equals 1, 1/2 but since we can't have n equals 1/2, we actually can't have a binding energy that's anywhere in between these levels that are indicated here. And that's a really important point for something that comes out of solving the Schrodinger equation is this quantization of energy levels.
我在这要说的是,我们可以让n等于,但不能让n等于,我们不能得到在这些标出来的,能级之间的结合能,能级的量子化,是从解薛定谔方程中,得到的很重要的一点。
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