All right, now just to get you used to the idea, in every class we're going to have I think the same two people, so Jude is the cameraman; why don't you all wave to Jude.

还要说一下,每节课我们都会,看到这两名工作人员,裘德是摄影师,大家跟裘德打个招呼

耶鲁公开课 - 博弈论课程节选

so first of all, Cal Tech has a very strong group in gravitational wave physics,

首先，加州理工引力波物理的师资很强，

一见钟情的学校 - SpeakingMax英语口语达人

All right. So jumping in to having established that, yes, particles have wave-like behavior, even though no, hey're not actually photons, we can't use that equation.

好的，我们已经承认了，粒子有波动性，虽然它们不是光子，我们不能用这个方程。

麻省理工公开课 - 化学原理课程节选

And the thing about what Schrodinger did was all he imposed on a system was the electron behaves as a wave and is bound.

薛定谔所做的,是建立在一个系统之上,电子是像波一样运动的并且是有界限的。

麻省理工公开课 - 固态化学导论课程节选

Just almost all the islands in that sea are inhabited by Greeks, mostly by the Greeks that came in that first wave of immigrants earlier on, not colonized during the eighth century and afterwards.

那片海域的诸岛上居住的几乎都是希腊人,他们大多都是早期的,第一批移民,而非八世纪以后的殖民者

耶鲁公开课 - 古希腊历史简介课程节选

Think about that. All this, Comus explains : Nay Lady, sit; if I but wave this wand, Your nerves are all chained up in Alabaster, And you a statue; or as Daphne was, Root-bound that fled Apollo.

试想一下，所以这一切，Comus解释到：,小姐，坐，但如果我挥舞这个棒子，你的所有神经都束缚在这个大理岩上了，你是一尊雕像，或像月桂树那样，被绑在根上逃往阿波罗。

耶鲁公开课 - 弥尔顿课程节选

Remember this is our bond axis here, and you can see there is this area where the wave function is equal to zero all along that plane, that's a nodal plane.

记住这是我们的键轴，你可以看到在这些区域,波函数在这个面内全都是零，这是节点面。

麻省理工公开课 - 化学原理课程节选

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。

麻省理工公开课 - 化学原理课程节选

So, the wave function at all of these points in this plane is equal to zero, so therefore, also the wave function squared is going to be equal to zero.

因此这里的,波函数平方也等于零，如果我们说在这整个平面上,任何地方找到一个ｐ电子的概率都是零。

麻省理工公开课 - 化学原理课程节选

All right. So let's look at some of these wave functions and make sure that we know how to name all of them in terms of orbitals and not just in terms of their numbers.

好，让我们来看一下,这些波函数,并确定我们都知道,怎么用轨道,而不仅是量子数来命名它们,一旦我们可以命名它们。

麻省理工公开课 - 化学原理课程节选

So, having other particles around that have the same energy that you could technically add up if you were adding them up like a wave, you can't do the same thing with particles, they're all separate.

所以，如果它们是波,你可以把其他的,拥有相同能量的粒子加起来，但是你不能把这些粒子加起来，因为它们是分离的。

麻省理工公开课 - 化学原理课程节选

But luckily we don't have to worry about how we're going to picture all this, now that I said that, no physical interpretation f or a wave function, there is a physical interpretation for what a wave function squared means.

如何想象这些图像,我这么说，虽然波函数，物理解释,但波函数的平方，有物理解释,当我们说到。

麻省理工公开课 - 化学原理课程节选

But let's just try maybe one of the basic questions they could ask, and they can say, all right, de Broglie, so you say that all matter, absolutely all matter has wave-like behavior.

让我们试一试他们,可能问到的一个基础问题，他们会说，好的，德布罗意，你说所有的物质，所有物质绝对会有波的特性。

麻省理工公开课 - 化学原理课程节选

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。

麻省理工公开课 - 化学原理课程节选