These videos are intended to enhance your understanding of time dependence in quantum mechanics. They may help you with problems 14-16 on the homework. The 1st video looks at the fundamental nature of the quantum wave that emerges from the Schroedinger Wave Equation. The 2nd and 3rd videos examines the time dependence of a "mixed" (non-stationary) state in which the wave moves from side to side. The 2nd video provides a start to calculating the expectation value of x; the 3rd video contains a graphic portrayal of the nature of the mixed state. (The problem with the 3rd video has been fixed. You can see the entire graph now.) Comments, questions and discussion posted here are most welcome.
The nature of the quantum wave:
Calculating x:
Time dependence of a mixed-state wave function:
for the 3rd video, you were talking about the centroid of the mixed state graph alternating from the left to the right and back and so forth. what about at the time t where the centroids on the left and right are in equilibrium. is that a significant time or something?
ReplyDeleteYes, that is a significant time. It is actually, i think, the time when the (expectation value of the) momentum is largest.
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