This was explored here (ruclips.net/video/gMnQ21-pjOA/видео.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.
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.
Thanks for your interesting video. ruclips.net/video/wrBsqiE0vG4/видео.htmlsi=waT8lY2iX-wJdjO3 Your viewers might enjoy this video which demonstrates that, under the right conditions, the quantization of a field can be easily achieved. The ground state energy is induced through Euler's column containment analysis. The containment column m must be engaged before over-buckling, or the effect will not occur. The system responds in a quantized manner when force is applied perpendicularly. Bonding at the points of highest probability and maximum duration (peaks and troughs) of the fields/sheets results in a stable structure from three fields. Some say I am akin to plucked guitar strings. I argue that structures cannot be created with vibrating guitar strings or harmonic oscillators. Currently, in my research, I am attempting to describe the "U" shape that is formed. In the model, "U" shaped waves are generated as the load increases and just before the wave-like function transitions to the next higher energy level. Combining all the wave frequencies using Fourier Transforms, as I understand, creates a "U" shape or square waveform. I am considering whether Feynman Path Integrals for all possible wave functions could be applicable here. If this model is valid, observing the sawtooth load versus deflection graph produced could provide significant insight into what occurs during quantum jumps. The mechanical description and accompanying white paper can be found on my RUclips page. You can replicate my results with a sheet of Mylar* (the clear plastic found in school folders). Seeing it firsthand is well worth the effort!
Thanks for your video. Your viewers might be interested in watching the test video of the model. ruclips.net/video/wrBsqiE0vG4/видео.htmlsi=waT8lY2iX-wJdjO3 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. See the load verse deflection graph.
![Seungmin "그렇게, 천천히, 우리(As we are)" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/kAzmhLHePqU/mqdefault.jpg)
I wish i were in that class.
You basically are if you’re watching the lecture
Why psy prime is continues at x=a despite V having a jump there ?
This was explored here (ruclips.net/video/gMnQ21-pjOA/видео.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
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.
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Thanks for your interesting video.
ruclips.net/video/wrBsqiE0vG4/видео.htmlsi=waT8lY2iX-wJdjO3
Your viewers might enjoy this video which demonstrates that, under the right conditions, the quantization of a field can be easily achieved.
The ground state energy is induced through Euler's column containment analysis. The containment column m must be engaged before over-buckling, or the effect will not occur. The system responds in a quantized manner when force is applied perpendicularly. Bonding at the points of highest probability and maximum duration (peaks and troughs) of the fields/sheets results in a stable structure from three fields.
Some say I am akin to plucked guitar strings. I argue that structures cannot be created with vibrating guitar strings or harmonic oscillators.
Currently, in my research, I am attempting to describe the "U" shape that is formed.
In the model, "U" shaped waves are generated as the load increases and just before the wave-like function transitions to the next higher energy level.
Combining all the wave frequencies using Fourier Transforms, as I understand, creates a "U" shape or square waveform.
I am considering whether Feynman Path Integrals for all possible wave functions could be applicable here.
If this model is valid, observing the sawtooth load versus deflection graph produced could provide significant insight into what occurs during quantum jumps.
The mechanical description and accompanying white paper can be found on my RUclips page.
You can replicate my results with a sheet of Mylar* (the clear plastic found in school folders).
Seeing it firsthand is well worth the effort!
Thanks for your video. Your viewers might be interested in watching the test video of the model.
ruclips.net/video/wrBsqiE0vG4/видео.htmlsi=waT8lY2iX-wJdjO3
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.
See the load verse deflection graph.