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And Pauli says no two electrons in a given system can have the entire set of quantum numbers identical.
而泡利认为在一个给定的系统内,没有两个电子有完全相同的量子数。
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So by parallel we mean - they're either both spin up remember that's our spin quantum number, that fourth quantum number.
所以我们意味着,它们都是自旋向上,记住我们的自旋量子数，是第四个量子数。
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You see, the quantum condition, by putting quantization into the moangular mentum it is propagated through the entire system. Orbit dimensions are quantized.
你们看，量子条件，通过把,角动量量子化，它就能在这个系统中进行传播,同时轨道大小也被量子化。
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We use the adjective "Newtonian" but we don't speak of certain writers who are still interested in quantum mechanics as "Newtonian writers."
虽然我们用牛顿主义者这个词“,但是我们不会把那些,对量子力学有兴趣的人称作牛顿主义作家“
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But the answer is, according to the standard interpretation of quantum mechanics, that's not how it works.
但答案是,根据量子力学的标准解释,这并非如此
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I mean, quantum mechanics makes sense to no human being, in my view. In those areas, people are inclined to do sort of strange things.
我的意思是在我看来，量子力学对人类完全没有意义，在那些领域，人们总是倾向于,去做有些奇怪的事情。
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He has two electrons here with the same set of quantum numbers. B but these are two separate hydrogen atoms.
因为我写了两个量子数,一样的电子,但这是在两个不同原子中啊。
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what three quantum numbers tell us, versus what the fourth quantum number can fill in for us in terms of information.
三个量子数和,四个量子数告诉我们的信息。
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And when you solved the relativistic form of the Schrodinger equation, what you end up with is that you can have two possible values for the magnetic spin quantum number.
当你们解相对论形式的,薛定谔方程，你们最后会得到两个,可能的自旋磁量子数的值。
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The way he described is when you try to get down a quantum dimensions and you are standing there with your camera, just remember the sun is at your back and your shadow is always in the picture.
这种方法被他描述为,当你试着处理一个量子尺寸时,并且你试着拿着你的相机在那，记住太阳在你的背后,而你的影子总是在照片上。
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But the reality that we know from our quantum mechanical model, is that we can't know exactly what the radius is, all we can say is what the probability is of the radius being at certain different points.
我们不可能准确的知道,半径是多少，我们只能说，它在不同半径处，的概率是多少，这是,量子力学。
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Bohr expressed the quantum condition by the angular momentum, quantum condition in the following manner.
波尔阐明了他的量子理条件,通过角动量，和以下的量子条件进行量子化。
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And I'm no scientist and I'm no specialist in sort of empirical matters, and believe me, I'm no authority on quantum mechanics, our best theory of fundamental physics.
我不是科学家,也不是实证方面的专家,相信我,关于量子力学,我并没有发言权,那可是基础物理中最经典的理论
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Yeah. So we have two orbitals, or four electrons that can have that set of quantum numbers.
嗯，有我们有两个轨道，也就是４个电子可以有这套量子数。
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The reason there are three quantum numbers is we're describing an orbital in three dimensions, so it makes sense that we would need to describe in terms of three different quantum numbers.
我们需要，3个量子数的原因,是因为我们描述的是一个，三维的轨道，所以我们需要，3个不同的量子数,来描述它。
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So, there's two kind of cartoons shown here that give you a little bit of an idea of what this quantum number tells us.
这里展示的两个图片,可以让你们对,这个量子数有些概念。
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So, we need to actually add on this fourth quantum number, 1/2 and it's either going to be plus 1/2 or negative 1/2.
所以我们需要加上这第四个量子数，它等于1/2或者负的。
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So you'll notice in your problem-set, sometimes you're asked for a number of orbitals with a set of quantum numbers, sometimes you're asked for a number of electrons for a set of quantum numbers.
希望你们在做习题的时候注意到，有时候问的是拥有,一套量子数的轨道数，有时候问的是拥有一套,量子数的电子数。
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So, we'll take a little bit of a step back after we introduce quantum mechanics, and talk about light as a wave, and the characteristic of waves, and then light as a particle. And one example of this is in the photoelectric effect.
等我们介绍完量子力学后,我们要回过头来讨论下光,作为一种波和它的波动性特征,以及光作为一种粒子,其中的一个粒子就是光电效应。
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- The same place is that energy is a function of these four quantum numbers.
它就是这个结论,能量是这四个量子数的机能显示。
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He did not invoke the quantum condition, but he gets to the quantum condition.
他不是求助于量子化条件，而是他得到了一个量子化条件。
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I think this is taken about two years after they discovered the fourth quantum number.
这张照片拍摄于他们发现,第四个量子数的两年后。
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How many different orbitals can you have that have those two quantum numbers in them?
有多少个轨道是,含有这两个量子数的？
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b The repulsive term goes as some constant lower case b divided by R to the n. N is not the quantum number.
这种斥力很想一个固定的小写字母,被R到n分开的话，N不是量子数。
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So, let's see how some of this works, and hopefully your counterparts from 100 years ago would also be able to think about how this works, even if they don't have the quantum mechanics behind the individual electron configurations for atoms.
那么，下面让我们来看一下它是怎么用的，希望一百年前想你们一样的同学,也能够弄懂它为什么能用，尽管他们没有量子力学,不知道原子的电子排布。
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So, the quantum mechanical interpretation is that we can, in fact, have probability density here and probability density there, without having any probability of having the electron in the space between.
量子力学给出的解释是，实际上，我们可以在这有概率密度，在这里有概率密度,但在两个之间没有。
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s Because the fourth quantum number is s.
因为第四量子数是。
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So, we now have this new way of thinking about how a nucleus and an electron can hang together, and this is quantum mechanics, and we can use this to come up with a new way to describe our atom and the behavior of atoms.
我们现在有了这种全新的,方法来研究电子和核子是,如何在一起的，这就是，量子力学，通过它我们,可以用一种全新的方式。
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You know from the m quantum number there are three.
你可以从角量子数上看出是3个。
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Even if quantum mechanics was wrong and somehow, you know, at the macro level all the indeterminism boils out-- whatever-- and at the macro level we are deterministic systems, so what?
即便量子力学是错的,而且不知怎的,在宏观水平上,所有的非决定性都蒸发了,不管发生了什么,在宏观水平上我们都成了决定论的系统,那又如何
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