A kid who knows to add an x-cubed term to a simple harmonic oscillator.

一个知道给简单谐振子加一个x立子。

If you touch a resonating wire, you can convince yourself you're feeling the universe coming into being.

如果你触摸到一根谐振线， 你可以说服自己， 你正在感受宇宙形成。

A ring resonator device, which is a circular wire of silicon, is a light trapper that enhances chemical fingerprinting.

环形谐振器装置是一种圆形硅线，是一种增强化学指纹识别光捕获器。

You cannot truly explain the light separation until you get down to the driven harmonic oscillator.

在深入了解动谐振子之前，您无法真正解释光分离。

That is, the resonant frequency for oscillations in one direction is distinct from the resonant frequency from oscillations in another.

也就是说，一个向上振荡谐振频率不同于另一向上振荡谐振频率。

This term, square root of k divided by m, has a special name, it's called the resonant frequency for our simple harmonic oscillator.

这个术语，即 k 除以 m 平根，有一个特殊名， 简谐振子谐振频率。

Although a key difference here is that the frequency of that external force in general has nothing to do with the resonant frequency of that little oscillator.

尽管这里一个关键区别是该外力频率通常与该小振荡器谐振频率无关。

By contrast, notice what happens in the simulation if the frequency of the light, omega sub L, is something much smaller than the resonant frequency.

相比之下，请注意如果光频率 omega sub L 远小于谐振频率，模拟中会发生什么。

And the real heart of the matter comes down to what's sitting in the denominator here, the difference between the square of the resonant frequency and the square of the light frequency.

问题真正核心归结这里分母是什么，即谐振频率平与光频率平之间差。

And to build a little intuition, take a moment to think about what would happen if the frequency of the incoming light was something very close to the resonant frequency of this oscillator.

了建立一点直觉，花点时间考虑一下如果入射光频率非常接近该振荡器谐振频率会发生什么。

One thing to note is that if your clock is either  fast or slow, it's most likely because the crystal oscillator doesn't oscillate exactly at 32.768  kilohertz due to the geometry and incorrect resonant frequency of tines.

需要注意一点是， 如果您时钟很快或很慢，很可能是因晶体振荡器由于齿几何形状和不正确谐振频率而没有准确地以 32.768 千赫兹振荡。

What we found is that the amplitude of oscillation when you shine a light on a charge like this will depend on how close the frequency of that light is to the resonant frequency associated with this spring-like restoring force.

我们发现，当你用光照射这样电荷时，振荡幅度将取决于该光频率与与这种弹簧状恢复力相关谐振频率接近程度。