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Are we doing the notecards again for next week's exam?
And maybe since we have covered more topics we are allowed more equations…hint hint…?
If you have a 3-dimensional square well, and you systematically push in all sides of the square well till it is extremely small… ultimately only the size of the particle - what happens to the particle? How is uncertainty preserved? Would it be that… you've enclosed the particle, so you know exactly where it is, but you have absolutely no idea about it's momentum? but… wouldn't it's momentum be known since it's confined to a box? or is it that the box itself is now so small that it now has its own uncertainty? What if while we shrink it we know exactly where it is?
My understanding is that the uncertainty in the instantaneous momentum increases(although the average is still 0) as you continue to confine the particle in x,y,z. I would guess that the energy of the particle would fluctuate so largely that it would tunnel through the box long before you were able to truly confine it.
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