But the reality that we know from our quantum mechanical model, is that we can't know exactly what the radius is, all we can say is what the probability is of the radius being at certain different points.

我们不可能准确的知道,半径是多少，我们只能说，它在不同半径处，的概率是多少，这是,量子力学。

麻省理工公开课 - 化学原理课程节选

And that's somewhat inconvenient because we're working with wave functions, but it's a reality that comes out of quantum mechanics often, which is that we're describing a world that is so much different from the world that we observe on a day-to-day basis, that we're not always going to be able to make those one-to-one analogies.

这对于研究氢原子，很不方便,但这就是事实,而且在量子力学中经常会出现这种事实,那就是我们要描述的世界，和我们日常所看到的世界,之间的差别是如此之大,以至于我们不能，做出一一对应的类比,但幸运的是我们不用管。

麻省理工公开课 - 化学原理课程节选