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Crtierion of effective centre-of-mass method in Quantum Mechanics

In describing the motion of atoms and clusters, we face with choosing quantum mechanics or classical mechanics under different conditions. In principle, there exist two criteria for this choice, but they do contradict in some cases though they are in agreement for other cases. Actually, this problem is closely related with the effective centre-of-mass method, the underlying application of quantum mechanics. It is shown that quantum mechanics must be selected for particle's motion when the de Broglie wave length of the mass centre is larger than the particle size, and in such case the effective centre-of-mass can be used in Quantum Mechanics. In order to test this conclusion, an easy-manufactured experiment is suggested.

preprint2011arXivOpen access
Bo-Yuan NingJun ZhuangXi-Jing Ning
physics.atm-clusquant-ph
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Bo-Yuan NingJun ZhuangXi-Jing Ning

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