科研之友
微信
新浪微博
Facebook
分享链接
摘要
It is not always easy to find problems in classical mechanics that can be solved with the use of knowledge in quantum mechanics. In this short note we present such an example. The problem is that of a bead which is free to move on an infinite rigid rod, where the rod is constrained to rotate with an increasing angular speed. The bead is also connected to the center of the rod by a spring. The question is to examine the whole set of solutions as time goes to infinity; particularly focusing on the possibility of having vanishing radial position. We humans are all equipped with instinctive intuitive knowledge about mechanical systems because we live in a macroscopic world that their physics dominates. Yet in the example we shall study, we will see that our generic intuition might fail to predict a set of zero measure in the solution set. One might say that our intuition is of course only based on generic situations.
- 出版日期2016-7
