但波函数的平方我们有一个解释。
看2s轨道波函数，更加有趣。
这些波函数就是特征函数。
当我们说轨道的时候，我们说的是波函数。
When we're talking about orbitals, we're talking about wave functions.
波函数的平方等于什么？
分子的电子波函数受到了微扰。
如果我们要讨论概率密度，这是波函数的平方。
So if we're talking about probability density that's the wave function squared.
我们来考虑一下，基态的波函数，是怎么样的。
So, we can think about what is it that we would call the ground state wave function.
我们讲过2s轨道的波函数，也讲过3s轨道。
We talked about the wave function for a 2 s orbital, and also for a 3 s orbital.
它是一个波函数，一个物体。
这对于分子也是一样，分子波函数就意味着分子轨道。
It's the same thing with molecules a molecular wave function just means a molecular orbital.
辐射式方程的解，氢原子波函数，氢光谱。
这是波函数的例子。
在量子的世界中，物体都是以波函数来描述。
In the quantum world, objects are described by wave functions.
我们还说了，当我们讨论波函数时，它到底有什么意义？
We also talked about well, what is that when we say wave function, what does that actually mean?
要求对称波函数的粒子，如介子，叫做玻色子。
Particles, such as pi-mesons, requiring symmetric wave functions are called bosons .
记住我们可以把整体波函数，分解成径向部分和角向部分。
So, remember we can break up the total wave function into the radial part and the angular part.
我们看到波函数加在一起，使中间的波函数更多了。
We're seeing that the wave function's adding together and giving us more wave function in the center here.
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。
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.
构造精确的原子态波函数是原子结构研究的基础和前提。
The construction of an accurate atomic wave function is the basis and prerequisite in atomic structure study.
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。
It makes sense to draw the wave function as a circle, because we do know that 1 s orbitals are spherically symmetric.
相反，两者之间的，波函数会相互抵消，所以我们在中间会得到一个节面。
So instead, these would be canceling out wave functions between the two, so we would end up with a nodal plane down the center.
波函数的模平方正比于体系处在其位形空间各个点的几率密度。
The square modulus of the wave function is proportional to the probability density of finding the system at each point in the configuration space.
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。
But now we're talking not about an atomic wave function, we're talking about a molecular wave function.
我们没有办法从经典力学的角度,想象波函数是什么样的，没有经典的类比。
There's no classical way to think about what a wave function is.
我们指出周长方向的波函数干涉是影响碳纳米管电导的重要因素。
The circumferential interference is found to be an essential mechanism in determining the transport properties of the carbon nanotubes.
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。
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。
And again, I want to point out that a molecular orbital, we can also call that a wave function, they're the same thing.
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