Finite square well energy eigenstates
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- เผยแพร่เมื่อ 14 ต.ค. 2024
- MIT 8.04 Quantum Physics I, Spring 2016
View the complete course: ocw.mit.edu/8-0...
Instructor: Barton Zwiebach
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
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I wish i were in that class.
You basically are if you’re watching the lecture
Either the tan shouldn't be perfect or the circle (ellipse) shouldn't be perfect. X Doubt
Yes, the solution lines he drew on the plot are not exactly correct. Near \eta = 0, they are pretty close to what he drew, but they would be lines with more localized curvature. The circle cannot be drawn just as a regular eclipse since you cannot simply scale the axes, however. The solutions only change in individual magnitude, not in the behavior he is describing here, though. The approximation he drew is a good heuristic.
Why psy prime is continues at x=a despite V having a jump there ?
This was explored here (th-cam.com/video/gMnQ21-pjOA/w-d-xo.html). In summary, we are after stationary states (spatial part) that satisfy the time-independent Schrodinger equation. In this case, psi'' would be discontinuous because the V(x) is discontinuous, but psi and psi' should be continuous.
The probability current is continous. So psi and psi' are continous
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Thanks for your video. Your viewers might enjoy seeing this visual aid. The sheet of spring steel buckled to a Gaussian curve represents a two dimensional field with the ends bounded.
Seeing the mechanical effect takes some of the mystery of what the math is showing.
Your viewers might be interested in watching the test video of the model.
See the load verse deflection graph.
th-cam.com/video/wrBsqiE0vG4/w-d-xo.htmlsi=waT8lY2iX-wJdjO3
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