Finite Quantum Well Part 2

/ edmundsj
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In this video, we apply the boundary conditions of continuity of the wavefunction and its derivative and do some math wizardry to come up with a couple (relatively) simple equations that allow us to solve for the energy levels of electrons in a finite quantum well.
This is part of my series on semiconductor physics (often called Electronics 1 at university). This is based on the book Semiconductor Physics and Devices by Donald Neamen, as well as the EECS 170A/174 courses taught at UC Irvine.
Hope you found this video helpful, please post in the comments below anything I can do to improve future videos, or suggestions you have for future videos.

[@p.b.2903]

Excellent explanation!

[@JordanEdmundsEECS]

Thanks! Anything in particular you liked about it?

[@p.b.2903]

@@JordanEdmundsEECS the presentation is excellent. Maybe do more cgi? I can’t find fault with it. The finite particle is a foundation topic I never get sick of it.

[@aMasheep]

I love it!!

[@paulinevandevorst1514]

thank you! very helpfull!

[@kohlraushpost9686]

I just have a question. What do you mean with symmetric potential? That the fine well at the left and right-hand side, they have both the same energy? and why we can say that if the potential is symmetric, then the wave function must be even or odd?. Thanks for your help. Amazing videos...

[@JordanEdmundsEECS]

“Symmetric” just means I can cut it in half and both halves look the same. Mathematically I mean the potential is *even* or V(x)=V(-x).

[@JorgeRamirez-nm8gn]

@@JordanEdmundsEECSHello, thanks for the video, could you tell us the name of the theorem please?

[@chansricharoen1547]

I'd like to know which program do you use for writing and on which platform. I'm finding the app for teaching by the way

[@SampleroftheMultiverse]

Thanks for your interesting video. Your viewers might enjoy this video showing under the right conditions, the quantization of a field is easily produced. The ground state energy is induced via Euler’s contain column analysis. Contain column m must come in to play before over buckling or the effect will not work. The system response in a quantized manor when force is applied in the perpendicular direction. Bonding at the points of highest probabilities and maximum duration( peeks and troughs) of the fields/sheet produced a stable structure out of three fields People say I am just plucked guitar strings. I said you can not make structures with vibrating guitar strings or harmonic oscillators. kzbin.info/www/bejne/raOlpKSfepWpfZYsi=waT8lY2iX-wJdjO3 At this time I’m my research, I have been trying to describe the “U” shape formed. In the model, “U” shape waves are produced as the loading increases and just before the wave-like function shifts to the next higher energy level. Over-lapping all the waves frequencies together using Fournier Transforms, I understand makes a “U” shape or square wave form. Wondering if Feynman Path Integrals for all possible wave functions could be applicable here? If this model has merit, seeing the sawtooth load verse deflection graph produced could give some real insight in what happened during the quantum jumps. The mechanical description and white paper that goes with the video can be found on my KZbin page. You can reproduce my results using a sheet of Mylar* ( the clear plastic found in school folders. Seeing it first hand is worth the effort!