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psi I mentioned that we can also solve for psi here, which is the wave function, and we're running a little short on time,
我说过我们也可以解,波函数，我们讲的稍微有点慢，
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And this is Erwin Schrodinger, and this is the equation that he put forth where we have hat psi being equal to e psi.
这就是埃尔文？薛定谔，在这个方程中,他提出,所以，让我们来解释一下。
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psi The solution of the Schr?dinger equation is psi, a wavefunction.
那薛定谔方程的解是什么，是，一个波函数。
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psi1 0 0 We can call that psi 1, 0, 0, is how we write it as a wave function.
我们可以叫它，这是我们作为波函数的形式写出它。
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So, for example, if we talk about the psi2 1 1 2, 1, 1 state label, that's just psi 2, 1, 1.
例如如果我们说,2，1，1态，它是。
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Then we can also talk about the 2, 1, 0 state function, psi2 1 0 which would be psi 2, 1, 0.
我们也可以看看,2，1，0态波函数，它是。
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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。
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psi2 1 -1 We can re-write this as psi 2 1 negative 1.
我们可以重新写成。
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And it turns out that the answer to can we have this physical interpretation of thinking about what psi means, the answer is really no, that we can't.
我们能否,对psi，有个,物理解释呢？,答案是不能。
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But, as I said before that, we have some more quantum numbers, when you solve the Schrodinger equation for psi, these quantum numbers have to be defined.
但我说了，我们还有，其它的量子数，当你解，psi的薛定谔方程时，必须要，定义这些量子数。
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When we first introduced the Schrodinger equation, what I told you was think of psi as being some representation of what an electron is.
当我们第一次介绍，薛定谔方程的时候，我说你们，可以,把psi看做是，电子位置的代表。
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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。
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So, again we can use these probability density plots, which are just a plot of psi squared, where the density of the dots is proportional to the density, the probability density, at that point.
同样的我们可以利用这些概率密度图，这是psi的平方的图，这里面点的密度，正比于概率密度。
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We're also going to talk more about what psi actually means.
我们还要谈一谈，psi到底有什么意义。
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So we'll call that psi 2, 0, wave function.
我们可以叫它psi2，0，0波函数。
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We'll introduce in the next course angular nodes, but today we're just going to be talking about radial nodes, psi and a radial node is a value for r at which psi, and therefore, 0 also the probability psi squared is going to be equal to zero.
将会介绍角节点,但我们今天讲的是，径向节点，径向节点就是指，对于某个r的值,当然，也包括psi的平方，等于,当我们说到s轨道时。
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We'll really think about what psi means.
我们要想一想psi真正的意义。
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