In my first Physics class (in high school by the way, a huge shame that i had so little before college), the first thing we talked about was the physics of elastically colliding bodies that have no interaction between them at all.(adsbygoogle = window.adsbygoogle || []).push({});

However, I've only ever analyzed such systems with force diagrams, never with Hamiltonians and Lagrangians. And I've certainly never talked about the quantum mechanical systems. I imagine that I could try taking the limit of a coulomb repulsion potential (of a system of like charged particles as the charge goes to 0 maybe?)

So how about it? How do I handle this system Quantum Mechanically? I suspect that fermions do this automatically (do they?), and bosons of course do not (which is a nice thing about them). But how do I do this in the case of distinguishable particles?

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# Billiard Ball Hamiltonian

Can you offer guidance or do you also need help?

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