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And this is just a Newtonian expression of momentum, the product of the mass of the electron times its instant velocity.
这只是牛顿学上关于动量的表达，用电子质量,乘以瞬时速度。
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And in terms of equations that we use, it's sometimes easier to plug in the fact, since momentum is equal to mass times velocity.
在我们使用方程这方面，事实上有时是很容易代入的，因为动量等于质量乘以速度。
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All around. If you plug in the numbers, you will end up with an uncertainty 15% in the momentum as being on the order of 15%.
所有，如果你把数字都加起来，你将得到一个关于动量的不确定度,约为。
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Or, if you're a pediatrician with a really small patient who will not sit still, it's because the laws of quantum mechanics don't allow an object to have a definite position and momentum.
或者你是个儿科医生,而你的小病人却总也坐不住,这是因为量子力学,不允许物体同时具有确定的位置和动量
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And that's really neat to think about, because photons, of course, are massless particles, they have no mass, so it's neat to think about something that has no mass, but that actually does have a momentum.
而且那真的不容易想明白，因为光子，当然是无质量的粒子，它们没有质量，所以这个真的不容易想明白,一些物体没有质量，但是它们事实上确实有动量。
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And the relationship that he put forth is that the momentum is equal to Planck's constant times nu divided by the speed of light, or it's often more useful for us to think about it in terms of wavelength.
爱因斯坦提出的关系式是,动量等于普朗克常数,乘以υ除以光速，或者用波长来表示,通常更容易让我们想明白。
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And we'll also talk about photon momentum as another example of light behaving up as a particle.
并且我们也会讨论光子动量的问题,这个可以作为光有粒子行为的例子。
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And what de Broglie said is well, if it's true that light, which has a wavelength can have momentum, then it must also be true that matter, which has momentum, also has a wavelength.
德布罗意说的是，如果光具有波长和动量是对的,那么物质具有动量和波长,也一定是对的。
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And one thing that Einstein put forth is he figured if well, what we're saying is that light is, in fact, a stream of particles, each one of those particles or photons must, therefore, have a momentum.
爱因斯坦提出了一件事情,他指出如果我们所说的光，事实上是一束粒子，那么这些粒子或者光子中的，每一个都有动量。
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This is the plus or minus, so the product of the uncertainty and the momentum.
是加或减，所以不确定度和动量的结果。
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It is the ratio of the Planck constant to its momentum .
那就是普朗克常量,比上它的动量。
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So, hopefully that kind of clears up that question. And, of course, when the velocity actually is zero, this equation that the de Broglie has put forth is valid for anything that has momentum, so if something does not have any velocity at all, it actually does not have momentum, so you can't apply that equation anyway.
能回答你的问题，当然，如果速度真的是零的话,德布罗意提出的这个方程,只对有动量的物体成立,所以如果一个东西没有速度，它没有动量，也就不能应用这个方程。
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It's a particle of mass m and momentum p has this energy so you solve for the energy, you get two answers.
一个质量为m,动量为p的粒子,有这么大的能量,你解出能量,得到两个解
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So, since the speed of light equals lambda nu, we can say that momentum is equal to h divided by lambda.
所以，既然光速等于λ乘以υ,我们可以得到动量等于h除以λ
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And to just give you a sense of what this is, the analytical expression that Heisenberg gave in one of its forms is that the uncertainty in the momentum a particle times the uncertainty in its position, this is the uncertainty.
给你说明一下什么是，分析的表述方式,海森堡给出的按照它的其中一种形式,那就是,粒子动量的不确定度乘以,位置的不确定度，这是不确定关系。
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