Only seven quantum mechanical proofs to go!

只剩七个量子力学证明了！

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

正的随机数字可以通过量子力学过程产生。

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

下一个问题，用哪种量子力学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，这个宇宙遵守量子力学原理(包括爱因斯坦)。

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

它的行为基于量子力学、3 维函数、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.

我专注于制造新型纳米级电子设备，以研究它的基本量子力学特性。

And the fact is: The world is quantum mechanical.

事实：世界量子力学的。

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

嗯，他和我刚刚制作了一个关于某个量子力学主题的视频——“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.

希格斯玻色子粒子物理学标准模型的基石，对所有已知基本粒子的量子力学描述。

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

他使用薛定谔方程来计算描述量子力学系统的不同，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，即使我可以，根据量子力学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.

概率由函数预测， 与某些属性有关的方程 量子力学系统，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.

在我通常如何体验世界的背景下， 这毫无意义，这只非常非常奇怪的量子力学冰山一角。

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，量子力学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，我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，要么受到对我周围世界（我周围的量子力学世界）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，因此向内拉的引力压倒了向外推出的量子力学力，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学完善的标准模型的启发，该模型对所有粒子（如夸克和电子）和正常物质的力（强力、弱力和电磁力）的量子力学描述。

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.

这一个比“量子力学 3 维函数到底什么？ ”更引人注目的问题， 当然，这个问题的答案与量子力学 3 维函数有很大关系， 所以让我从那里开始。