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No one, until this time, had suggested that a system would be subjected to quantization except for light.
在他之前，还没有人提出过,除光系统外的量子化系统。
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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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And even though he could figure out that this wasn't possible, he still used this as a starting point, and what he did know was that these energy levels that were within hydrogen atom were quantized.
这是不可能的了,但他还是以此为出发点，他知道，氢原子的这些能级,是量子化的,而且他也知道，我们上节课所看到现象。
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What appears to the naked eye to be just glowing is actually superposition of different lines of distinct frequency. So, you see, this is quantized.
出现在肉眼面前的光亮,事实上是波段不同的光线的叠加,所以，它是量子化的。
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But it shows you that with a little bit of understanding of quantization you can go a long way.
但它看起来,有一些量子化的含义,你可以研究研究。
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Charge is quantized. And, secondly,he was able to measure the value of the elemental charge.
电荷是量子化的，第二，他能,测量出电荷基本的量值。
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That's why we can't have a continuum of energy, we actually have those quantized points.
这就是为什么，我们没有连续的能谱，而是，量子化的点。
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Charge is quantized. In other words, it comes in batches of a certain unit.
电荷是量子化的，换句话说，它一批一批的以单位形式出现。
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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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So, what he did was kind of impose a quantum mechanical model, not a full one, just the idea that those energy levels were quantized on to the classical picture of an atom that has a discreet orbit.
还不是完整的,只是这些能级，是量子化的概念，作用到原子有分立轨道的经典原子模型上,当他做了一些计算后,他得到有个半径,他算出来。
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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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Bohr says that the energy is quantized through its angular momentum.
波尔说能量通过角动量,被量子化。
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But the electron cannot reside anywhere except in one of these quantized states.
但是这个电子不能稍作停留,除非它处在量子化状态之中。
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Out of that he concludes charge must be quantized.
出于此结论，他总结出电荷是量子化的。
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So quantization of radiation was already established as of about 1900.
所以辐射的量子化概念,在1900年左右就建立了。
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But the really important point here is that they're quantized.
但重要的是这些能量是量子化的。
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Energy is quantized. Velocity is quantized.
能量被量子化，速度被量子化。
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The modes of vibration in that string are quantized.
在那条弦上的震动模式是量子化的。
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Everything is quantized. Energy is quantized.
所有一切都被量子化，能量被量子化。
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They are quantized.
它们是量子化的。
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So as I tried to say on the board, we can have n equals 1, 1/2 but since we can't have n equals 1/2, we actually can't have a binding energy that's anywhere in between these levels that are indicated here. And that's a really important point for something that comes out of solving the Schrodinger equation is this quantization of energy levels.
我在这要说的是，我们可以让n等于，但不能让n等于,我们不能得到在这些标出来的,能级之间的结合能，能级的量子化,是从解薛定谔方程中,得到的很重要的一点。
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