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So, there's a political mobilization in the late 1860s, and in the beginning of 1870 there's a wave of strikes.
因此,在十九世纪六十年代晚期,掀起了一场政治动员,一八七零年开年,法国便迎来了一场罢工潮
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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，
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Well, if this thing is going to vibrate for any length of time it better be a standing wave.
好的，如果它在任意时间振动,那它就是驻波。
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And first we discussed the fact that well, in terms of a classical analogy, we don't really have one for wave function, we can't really think of a way to picture wave function thinking in classical terms.
首先我们说了，波函数没有一个，经典的类比，我们不能想象一个,经典的波函数的图像。
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Keep them up. Wave them in the air with a bit of motion.
先别放下手,再举一小会
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So, now I hope you have in your mind a picture of the way the Greek world had expanded by the time this wave of colonization was complete--pretty complete, sometime in the seventh century B.C.
希望现在你脑海中有一幅,那时候希腊世界扩张的地图,在公元前七世纪的某一阶段,形成了一个完整的殖民浪潮,相当完整
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It doesn't mean that they grew up south of the Mason-Dixon Line or wave a certain kind of flag or--but the older term for it was "stooge."
那不意味着,他们成长于梅森—狄克森线以南,挥动某种旗帜,或者-但是更广泛是“stooge“表示助手“
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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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And if it is going to be a standing wave then this must be an integral number of wavelengths.
如果这有个驻波的话,那么周长就是个整数。
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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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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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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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Again we can look at this in terms of thinking about a picture this way, in terms of drawing the wave function out on an axis.
同样我们可以,用这个图像来考虑，从画轴上的波函数来考虑。
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And you can think about that if you think about a standing wave, for example, where you can have amplitude at many different values of x, so an amplitude at many different distances, but you also have areas where there is a amplitude.
你们可以想象一下驻波，在不同ｘ处,可以有不同的振幅，在不同的距离有不同的振幅，但在某些地方振幅等于０．
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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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So I would choose something that have a wave lines off You wouldn't measure the dimension of a human hair with a yardstick, so I need something on this order.
所以我会选些东西,你将不会用一个码尺去量,人的头发有多大，所以我需要一些这个级数上的东西。
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