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。
Now remember, we went through before how it's a state function but to calculate it, you'd need to find a reversible path, along which you can figure this out.
请记住,我们不需要知道它是怎样的一个态函数,只计算就可以了,你需要找到一条可逆路径,沿着这条路径就能算得这个结果。
Once we can do that we can go on and say okay, what actually is a wave function, but first we need to know how to describe which ones were talking about.
我们就可以继续并说波函数到底是什么,但首先,我们需要知道,如何描述,我们说的,是哪一个波函数。
Well, what's nice about this program is that there's just one function, main, so we don't need to draw the stack and get things all complicated.
这个程序的优点是,这里只有一个函数main,这样我们就不需要,画出堆,也不用那么复杂。
It turns out we can express all these functions in terms of G, G we wouldn't need to choose G, but it's a very useful function to choose.
最终我们能把所有的这些函数,用自由焓G表示出来,我们没有必要选择,但是这个选择很有用。
l But now we need to talk about l and m as well. So now when we talk about a ground state in terms of wave function, we need to talk about the wave function of 1, 0, 0, and again, as a function of r, theta and phi.
但我们现在需要讨论,和m,现在当我们讨论,波函数的基态时,我们讨论的,是1,0,0的波函数,同样的,它也是r,theta和phi的函数。
So if, in fact, we want to describe a wave function, we know that we need to describe it in terms of all three quantum numbers, and also as a function of our three positional factors, which are r, the radius, phi plus the two angles, theta and phi.
实际上,我们想描述波函数,我们知道我们需要,用这三个量子数来描述它,同样,波函数还是,三个位置变量的函数,它们是r半径,还有两个角度theta和。
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