From the hyperphysics site http://hyperphysics.phy-astr.gsu.edu/hbase/elacol2.html#c1 on classical elastic collisions I see that if an incoming particle of mass ##m_1## with velocity ##v_1## collides into a stationary target particle of mass ##m_2## then the velocity of the target particle after the collision, ##v_2'##, is given by:(adsbygoogle = window.adsbygoogle || []).push({});

$$v_2'=\frac{2m_1}{m_1+m_2}v_1.$$

Thus as the incoming particle mass ##m_1\rightarrow \infty## the velocity of the target particle ##v_2' \rightarrow 2 v_1##.

Does this behavior carry over to the case of quantum elastic collisions or does a very heavy incoming particle just fail to interact with a light target due to the large difference in masses?

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# I Limiting behavior of quantum elastic collision

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