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And we can also write this in an even simpler form, which is what's called electron configuration, and this is just a shorthand notation for these electron wave functions.
而且我们也可以将它，写为一个更简单的形式，它叫做电子构型,这个仅仅是这些电子波函数的。
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So now that we can do this, we can compare and think about, we know how to consider wave functions for individual electrons in multi-electron atoms using those Hartree orbitals or the one electron wave approximations.
现在我们可以做这些了，我们可以对比和考虑，我们知道如何用哈特里轨道,或者单电子波近似去考虑,多电子原子中的单个电子波函数,所以对于我们研究了。
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We need to come up with an experiment in which the electron is going to be forced to behave as a wave.
我们得想出个实验,在这个实验中电子必须,要表现得像波一样。
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We started talking about these on Wednesday, and what we're going to start with is considering specifically the wave functions for multi-electron atoms.
我们从周三开始讨论这些，而且我们将要以特别地考虑,多电子原子的波函数,为开始。
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What he did was took de Broglie motion of the electron as a wave and developed a wave equation for such matter waves.
他所做的就是,用电子的德布罗意运动,作为波并且对于那种物质波,给出波动方程。
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If de Broglie is correct, we could then model the electron in its orbit not moving as a particle, but let's model it as a wave.
如果德布罗意是对的，那么我们可以在电子轨道中建立电子模型,不是像粒子一样运动，而是像波一样运动。
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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。
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But right now, what I want you to be thinking of a wave function as is just some representation of an electron.
但是现在，我想让你们,将波函数仅仅理解为,一个电子的表示方法。
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In order to have an electron in a stationary orbit this implies standing wave.
为了在静止的轨道中拥有电子,驻波是不可少的。
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If a proton which has no mass can behave as a particle does it follow that an electron which has mass can behave as a wave?
如果一个没质量的光子能像粒子一样,具有质量的电子能否,表现得像波一样吗？
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But before we get to that, in terms of thinking just think, OK, this is representing my particle, this is representing my electron that's what the wave function is.
但是在我们谈论那个部分之前，在理解方面，仅仅是理解，好的，它代表了粒子，它代表了电子,这就是波函数。
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If a photon which has no mass can behave as a particle, does it follow then an electron which has mass can behave as a wave? 1920.
如果一个没有质量的光子,能像粒子一样运动，那么它能像一个,没有质量的电子那样以波的形式运动吗。
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No matter where you specify your electron is in terms of those two angles, it doesn't matter the angular part of your wave function is going to be the same.
不论你将，这两个角度,取成什么值，波函数的角向部分,都是，相同的。
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I'm going to say that an electron's a wave no matter how much my father says differently, and I'm going to get a Nobel Prize for that, and he does.
我要说电子是一个波,无法这与我父亲的观点如何对立，我也要为此得到一个诺贝尔奖，他确实做到了。
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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。
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So, the wave functions for multi-electron atoms.
所以，对于多电子原子的波函数。
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So, as an example, let's take argon, I've written up the electron configuration here, and let's think about what some of the similarities might be between wave functions in argon and wave functions for hydrogen.
所以作为一个例子我们来看看氩，我已经把它的电子构型写在这里，我们来考虑氩和,氢波函数之间的,一些相似性。
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So on Friday, we'll start with talking about the wave functions for the multi-electron atoms.
在周五，我们要开始讨论,多电子原子的波函数。
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We are going to say that the electron behaves as a wave.
而要说的是,电子表现像波一样。
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An electron is a particle, but an electron's also a wave.
电子是粒子，但是电子也是波。
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So we have the operationon the wave function in terms of r, theta, and phi and remember this e is just our binding energy for the electron, and we get back out this wave function.
我们用r，θ，φ来表示,将算符作用于波函数,而且记住e仅仅是电子结合能，然后后面加上波函数。
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And when we describe this in terms of talking about chemistry terminology, we would call the first one the 1 s, and 1 is in parentheses because we're talking about the first electron there, and we would multiply it by the wave function for the second one, which is also 1 s, but now we are talking about that second electron.
当我们用化学术语来,描述它的时候，我们称第一个为“1s“,括号中的1是因为我们,在谈论第一个电子,而且我们会用它的波函数，乘以第二个,第二个也是“1s“,但是我们现在谈论的是,第二个电子。
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