Wave particle duality had been applied to photons.
波粒二象性应用于光子上。
So this validates de Broglie and it also validates the whole concept of wave-particle duality.
这就证实了德布罗意的观点,也证实了,波粒二象性的原理。
So you're basically having a wave equation for a particle, and for our purposes we're talking about a very particular particle. What we're interested in is the electron.
所以你们主要有,一个粒子的波动方程,我们的目的是考虑一个特殊的粒子,我们感兴趣的是电子。
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。
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。
So, if instead you put your particle somewhere down here on the electric field, or on the wave, the electric field will now be in the other direction so your particle will be pushed the other way.
还有方向,所以如果,你把粒子放在这下面,电场的方向相反,粒子会朝另一个方向运动。
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。
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?
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。
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。
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。
An electron is a particle, but an electron's also a wave.
电子是粒子,但是电子也是波。
And the reason that quantum mechanics is going to work where classical mechanics fails is that classical mechanics did not take into account the fact that matter has both wave-like and particle-like properties, and light has both wave-like and particle-like properties.
上发生的行为,量子力学得以成功,而经典力学却失败的原因,是因为经典力学,不能包容物质的,波动性和粒子性,和光的波动性和粒子性。
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