So, we can say that a circle is a good approximation for a 1 s wave function.
所以我们说一个圆是，对1s波函数的好的近似。
So if we're talking about probability density that's the wave function squared.
如果我们要讨论概率密度，这是波函数的平方。
We talked about the wave function for a 2 s orbital, and also for a 3 s orbital.
我们讲过2s轨道的波函数，也讲过3s轨道。
It's the same thing with molecules a molecular wave function just means a molecular orbital.
这对于分子也是一样，分子波函数就意味着分子轨道。
So, remember we can break up the total wave function into the radial part and the angular part.
记住我们可以把整体波函数，分解成径向部分和角向部分。
We also talked about well, what is that when we say wave function, what does that actually mean?
我们还说了，当我们讨论波函数时，它到底有什么意义？
But now we're talking not about an atomic wave function, we're talking about a molecular wave function.
但现在我们不是讨论原子的波函数，我们讨论的是分子的波函数。
First the initial wave function is decomposed into an expansion of the Hamiltonian eigenfunctions.
首先，此起始波函数被分解代入汉米尔顿特征函数的扩展式中。
And on Monday what we were discussing was the solution to the Schrodinger equation for the wave function.
周一我们讨论了，薛定谔方程解的波函数。
We're seeing that the wave function's adding together and giving us more wave function in the center here.
我们看到波函数加在一起，使中间的波函数更多了。
The construction of an accurate atomic wave function is the basis and prerequisite in atomic structure study.
构造精确的原子态波函数是原子结构研究的基础和前提。
Although the approximate wave function is qualitatively useful, it is gravely lacking in quantitative accuracy.
虽然近似的波函数是定性地有用，然而它严重的缺少定量的准确性。
All right. So hopefully we're pretty comfortable naming any type of wave function using the chemist terminology.
好了，希望我们都可以，接受这种，用化学术语来命名任何类型的波函数了。
It makes sense to draw the wave function as a circle, because we do know that 1 s orbitals are spherically symmetric.
把波函数画成一个圆是有道理的，因为我们知道1s轨道是球对称的。
And again, I want to point out that a molecular orbital, we can also call that a wave function, they're the same thing.
同样，我要指出的是，一个分子轨道，我们也可以叫它波函数，这是一件事情。
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
Our friend Schr? Dinger told us that if you solve for the wave function, this is what the probability densities look like.
我们的朋友薛定谔告诉我们，如果你用波函数来解决，你就会知道这些概率密度看上去的样子。
Again we can look at this in terms of thinking about a picture this way, in terms of drawing the wave function out on an axis.
同样我们可以，用这个图像来考虑，从画轴上的波函数来考虑。
According to the analysis of wave function, we can find that harmonic potential is a good model to describe quantum dots.
根据对波函数的分析发现，谐振子势是描述量子点的一个较好的势模型。
The wave function and probability density are obtained by the creation and annihilation operators of the invariant operator.
通过不变量算子的产生和湮灭算符，得到波函数和几率密度。
This is a table that's directly from your book, and what it's just showing is the wave function for a bunch of different orbitals.
这是一张你们书里的表格，它展示了各种,不同的轨道波函数。
We can talk about the wave function squared, the probability density, or we can talk about the radial probability distribution.
我们可以讨论它，波函数的平方，概率密度，或者可以考虑它的径向概率分布。
When the laser field is diminshed to zero, the wave function is naturally reduced to relativistic wave function of free electron.
当激光场为零时，该波函数自然地过渡到相对论的自由电子波函数。
So again if we look at this in terms of its physical interpretation or probability density, what we need to do is square the wave function.
如果我们从物理意义或者,概率密度的角度来看这个问题，我们需要把波函数平方。
So in hydrogen atom a, I'll depict that here where the nucleus is this dot, and then the circle is what I'm depicting as the wave function.
在氢原子A里，我在这里把原子核画成一个点，这圆就是波函数。
"If you do," Caleb said, "the wave function will collapse and the story will become the best story for you, not for the editor of Analog."
如果你看了的话，“卡勒布说，”波函数就会坍缩，故事就会变成你眼中最好的小说，而不是年选的编辑眼中。
So when you operate on the wave function, what you end up with is getting the binding energy of the electron, and the wave function back out.
所以当你将它作用于波函数时，你得到的是电子的结合能，和后面的波函数。
If it is small enough, then its wave function will also spread out over a space large enough for it to penetrate more than one slit simultaneously.
如果它足够小，那么它的波函数也会穿越对它足够大的空间而传播，在同一时刻穿过一个以上的缝隙。
If it is small enough, then its wave function will also spread out over a space large enough for it to penetrate more than one slit simultaneously.
如果它足够小，那么它的波函数也会穿越对它足够大的空间而传播，在同一时刻穿过一个以上的缝隙。
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