Abstract
Dealing with the motion of single pendulum, classical mechanics shows, by the effective center of mass method, that the pendulum ball performs periodical spatial movement. However, using the same method, quantum mechanics presents a totally different answer: the pendulum ball moves randomly in space without a definite period. We provide the criteria conditions for the two different predictions, and propose the experimental conditions for the ball to obey quantum mechanics. Our results show that it is quite easy with current experimental apparatus to observe the spatial quantum transition of a macroscopic objects of the micrometer-seale.
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