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As each wave came, the boat rose and fell, like a horse starting toward a fence too high to jump.
VOA: special.2010.03.06
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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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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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Then,as the boat was carried to the top of a great wave, the captain looked across the water.
VOA: special.2010.03.06
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So we can do this essentially for any atom we want, we just have more and more wave functions that we're breaking it up to as we get to more and more electrons.
所以我们基本上对，任何一个原子都可以这么做,我们仅仅会有越来越多的波函数,因为我们将它分为越来越多的电子。
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The problem was that after successfully floating over one wave you find that there is another one behind it just as strong and ready to flood your boat.
VOA: special.2011.04.09
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It seems to depict a storm at sea, almost as if the Egyptians are in boats, and a big wind makes a giant wave, and another wind then makes it crash down on them.
而是描述了一阵风，就像埃及士兵在船上,狂风掀起大浪，另一阵风，掀翻了船。
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But he could only wave his hands as to how this physical thing in the world could connect to an immaterial mind.
但他只能用挥手这样的动作,来展示现实的生理客体,是如何与无形心理相联系的
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And now that we do have something, namely, this wave of colonization, they join that as well.
这与我们找到的证据相符,这些人加入了殖民的浪潮
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There is a story that near the end of his life, Aristotle was himself brought up on capital charges, as was Socrates, due to another wave of hostility to philosophy.
而在他快临终时有个故事讲到，亚里士多德,遭到死刑控告，如同苏格拉底一般，因为另一波的反哲学斗争。
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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。
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The second thing is, just as in the case of the violin string, the wave equation, as posed by Schrodinger, has a plurality of solutions.
第二，就那个小提琴弦而言，波动方程，被薛定谔所提出的，有许多解法。
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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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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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Other times it behaves as a wave, and that is the way it helps us to think and rationalize what we observe.
另一些时候它更像波，而这是能帮助我们思考,和理解我们所观察到的东西的一种方法。
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And it turns out that the Schrodinger equation is an equation of motion in which you're describing a particle by describing it as a wave.
结果是薛定谔方程,用描述粒子波动性的方式,来描述这个粒子。
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psi1 0 0 We can call that psi 1, 0, 0, is how we write it as a wave function.
我们可以叫它，这是我们作为波函数的形式写出它。
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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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So, remember this makes sense if you just think of it as a wave and forget the particle part of it for right now, because that would be very upsetting to think about and that's not, in fact, what's going on, we're talking about quantum mechanics here.
记住如果你们把它看做是一个波,而忘记它是一个粒子时，这就是可以理解的了，因为如果把它看做,一个粒子就行不通了，实际上也不是这样的，这里我们是以量子力学的角度来考虑问题。
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After that, we'll move on to matter as a wave, and then the Schrodinger equation, which is actually a wave equation that describes the behavior of particles by taking into account the fact that matter also has these wave-like properties.
之后，我们会转移到物质，是一种波的话题和薛定谔方程，薛定谔方程是描述粒子,在考虑物质的波动性质后,的行为的方程。
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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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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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Only by using wave-like properties as an explanation can you describe diffraction.
只能用类波特征来,解释和描述衍射。
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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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So, what this means is that when we're looking at an actual wave function, we're treating it as a wave, right, so waves can have both magnitude, but they can also have a direction, so they can be either positive or negative.
这意味着,当我们看一个波函数时,我们把它看做一个波，波不仅有幅值，还有方向，所以它们可正可负，如果。
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One is that he's just re-arranged an equation here and gotten both his PhD thesis and a Nobel Prize, but I think the more representative way to think about this is the real revolutionary idea that he put forth, which is that matter can actually behave as a wave.
一个是德布罗意仅仅,重新排列了一个方程,而且完成了博士论文并获得诺贝尔奖，但是我认为更具有代表性的观点,是他提出了实在的革命性的观点，那就是物质会有波的性质。
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You're vibrating. You're acting as a wave.
就是通过振动，你把自己看做一列波。
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And what we end up forming is a molecular orbital, because as we bring these two atomic orbitals close together, the part between them, that wave function, constructively interferes such that in our molecular orbital, we actually have a lot of wave function in between the two nuclei.
最后我们得到了分子轨道，因为当我们把这两个原子轨道放在一起的时候，它们之间的部分，波函数，相干相加，所以在分子轨道里，我们在两个原子核之间有很多波函数。
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So again, if we think of a graph of the wave function, we had the wave function is at its highest amplitude when it's lined up with the nucleus, and then as we got further away from the nucleus, the amplitude of the wave function ends up tapering off until it never hits zero exactly, but it goes down very low.
同样，如果我们想象一幅波函数的图，波函数在原子核的位置上,有着最高的振幅，随着与原子核距离变远，波函数振幅逐渐变小直到,它永远不会到零，但它会变得很小。
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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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