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Maybe this is because it's only the real part, but what causes the amplitude of the wave packet to dampen over time? This seems to imply that it "vanishes" after some time? Or am I seeing this incorrectly?
The wave packet doesn't vanish, it just becomes extremely broad meaning that the probability of finding it at any position x is constant. This however implies a delta function in momentum space.
spoken like a true physicist when you call it a delta function and not distribution haha but also that makes sense! wasn't sure if this was dispersion in action or something else. thanks!
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In Quantum Mechanics, is not a "point particle" following some trajectory
