Thank you. Sorry, I do not have a GitHub repo that I can share with you. But I can give you hint about how the plots are generated. Basically you need to solve the time dependent Schrodinger equation. I used split-step Fourier method for that to generate the wavefunctions at different time steps. The 1d wavefunctions are plotted using manim plotting functions, while 2D wavefunctions are plotted using ImageMobject.
I have a question... when part of a wavefunction leaks through a barrier, that only indicates there's a probability the particle will be found on the other side, not that the particle has actually physically transmitted. But we can observe decay and nuclear fusion happening, so at some point in time the particle actually does end up physically appearing on the other side of the barrier. So when exactly does the physical tunneling actually occur?
You are right that wavefunction leaking through the barrier indicates that there is a probability that the particle will be found on the other side of the barrier. Let’s say for some case it is 1%. What that actually means is that if the particle is incident on the barrier 1000 times, 990 times it would be reflected back and approximately 10 times it would be found on the other side. Alternatively if 1000 particles are incident on the barrier, 10 will end up on the other side of the barrier. This is illustrated at 8:24 min in the video. Hope this helps.
I really appreciate how you tied real-world (and even out-of-this-world!) examples to the concepts you laid out. Great video!
Thank you.
Beautiful illustration! Would you mind sharing the Python code used to generate Manim plots (your GitHub repo)? Thanks!
Thank you. Sorry, I do not have a GitHub repo that I can share with you. But I can give you hint about how the plots are generated. Basically you need to solve the time dependent Schrodinger equation. I used split-step Fourier method for that to generate the wavefunctions at different time steps. The 1d wavefunctions are plotted using manim plotting functions, while 2D wavefunctions are plotted using ImageMobject.
Weak force/strong force/ gravity/ emf please…
Beautiful illustration. Nice quiet voice. Excellent
Thank you.
ooooh kurtzgezagt vibes
:)
I have a question... when part of a wavefunction leaks through a barrier, that only indicates there's a probability the particle will be found on the other side, not that the particle has actually physically transmitted. But we can observe decay and nuclear fusion happening, so at some point in time the particle actually does end up physically appearing on the other side of the barrier. So when exactly does the physical tunneling actually occur?
You are right that wavefunction leaking through the barrier indicates that there is a probability that the particle will be found on the other side of the barrier. Let’s say for some case it is 1%. What that actually means is that if the particle is incident on the barrier 1000 times, 990 times it would be reflected back and approximately 10 times it would be found on the other side. Alternatively if 1000 particles are incident on the barrier, 10 will end up on the other side of the barrier. This is illustrated at 8:24 min in the video. Hope this helps.