Only seven quantum mechanical proofs to go!

只剩七个量子证明了！

But truly random numbers can be generated through quantum mechanical processes.

但是真正的随机数字可以通量子产生。

Okay, next question, What is the quantum mechanical effect used to encode data on hard-disk drives?

下一个问题，用哪种量子效应被应用在硬盘存储加密上？

And this means, Einstein, that the universe is quantum mechanical whether you like it with a 50% chance, or not.

这意味着，这个宇宙遵守量子原理(包括爱因斯坦)。

And the fact is: The world is quantum mechanical.

事实是：世界是量子的。

They behave based on quantum mechanical, 3-dimensional wave functions, probabilistic distributions of electrons in space.

它们的行为基于量子、3 维波函数、空间电子的概率分布。

I specialize in making new types of nanoscale electronic devices to study their fundamental quantum mechanical properties.

专注于制造新型纳米级电子设备，以研究它们的基本量子特性。

Well, he and I just made a video on a certain quantum mechanical topic - " Bell's inequalities" .

嗯，他和刚刚制作了一个关于某个量子主题的视频——“贝尔不等式”。

The Higgs boson is the cornerstone of the Standard Model of particle physics, the quantum mechanical description of all known elementary particles.

希格斯玻色子是粒子物理标准模型的基石，是对所有已知基本粒子的量子描述。

They use Schrodinger's equation to calculate different waves that describe a quantum mechanical system, like that electron you've been trying to measure.

他们使用薛定谔方算描述量子系统的不同波，就像你可能试图测量的电子一样。

No one's ever managed to cool anything down that much, but even if we could, molecules would still move due to a quantum mechanical principle called zero-point energy.

至今没有人曾创造出那样的低温环境，但是即使们可以，根据量子的中零点能量的解释，分子在那样的情况下仍能运动。

That probability is predicted by the wavefunction, an equation that relates some of the properties of a quantum mechanical system, like an electron or atom.

概率由波函数预测， 与某些属性有关的方 量子系统，例如电子或原子。

It makes no sense in the context of how we normally experience the world, but that’s just the tip of the very, very strange quantum mechanical iceberg.

在们通常如何体验世界的背景下， 这毫无意义，但这只是非常非常奇怪的量子冰山一角。

In cases way more general than this one photon polarization example, quantum mechanical states are described as some superposition of multiple base states, and the superposition depends on what basis you choose.

在比这个光子偏振示例更普遍的情况下，量子状态被描述为多个基态的某种叠加，并且叠加取决于您选择的基础。

So there's really a plethora, every single challenge that we currently face that's either limited by data or limited by an understanding of the world around us, a quantum mechanical world around us.

因此，们目前面临的每一个挑战都非常多， 这些挑战要么受到数据的限制，要么受到对们周围世界（们周围的量子世界）的理解的限制。

In type 2, the star runs out of nuclear fuel, so the gravitational forces pulling in overwhelm the quantum mechanical forces pushing out, and the stellar core collapses under its own weight in a hundredth of a second.

在类型 2 中，恒星耗尽了核燃料，因此向内拉的引压倒了向外推出的量子，恒星核心在百分之一秒内因自身重量而坍塌。

The more complex versions are inspired by the well-established Standard Model of particle physics, which is a quantum mechanical description of all the particles (such as quarks and electrons) and forces (the strong, weak and electromagnetic) of normal matter.

更复杂的版本受到粒子物理完善的标准模型的启发，该模型是对所有粒子（如夸克和电子）和正常物质的（强、弱和电磁）的量子描述。

It's an even more compelling question than, " What the heck is a quantum mechanical 3-dimensional wave function? " Well, of course, the answer to this question has a great deal to do with quantum mechanical 3-dimensional wave functions, so let's start there.

这是一个比“量子 3 维波函数到底是什么？ ”更引人注目的问题， 当然，这个问题的答案与量子 3 维波函数有很大关系， 所以让们从那里开始。