calculate the transmission coefficient
Submitted 10 months ago by BB84@mander.xyz to science_memes@mander.xyz
https://mander.xyz/pictrs/image/7b322c4f-7cbd-4a60-b4ea-3952e70b21f3.jpeg
Submitted 10 months ago by BB84@mander.xyz to science_memes@mander.xyz
https://mander.xyz/pictrs/image/7b322c4f-7cbd-4a60-b4ea-3952e70b21f3.jpeg
haerrii@feddit.org 10 months ago
What does the graph say? what’s on the x and y axis?
BB84@mander.xyz 10 months ago
The x axis is position. The y axis is energy. The blue box is a potential energy barrier. The red curve shows the wavefunction of a particle at a certain energy level coming in and tunneling through the wall. (the wavefunction actually live on a different y-scale from this plot and is only superimposed here for illustrative purpose, so don’t read into the amplitude of the oscillatory part).
more info: en.m.wikipedia.org/wiki/Quantum_tunnelling
arality@programming.dev 10 months ago
Sometimes I hate this community because, It makes me feel so dumb lol
Can you eli5 this for the dumb people in the room?
PM_ME_VINTAGE_30S@lemmy.sdf.org 10 months ago
I think this is quantum mechanics. Ψ(x) is the wave function of some quantum object (like an electron) as a function of (1 dimensional) space, U(x) is the potential as a function of space. The squared magnitude of ψ(x) can be interpreted (with suitable normalization) as a probability that the object will be measured to be located at x.
Classically, if something is on the left side of the barrier created by U(x), it shouldn’t be able to cross to the other side at all without being supplied external energy. Intuitively, imagine that I roll a literal ball to the right. You would expect it to bounce back at you. However, in quantum mechanics, it totally can appear on the other side of the barrier. Why? Based on the graph, the wave function has some nonzero magnitude on the right side of the barrier.
So this meme implies that some of the swords are going to appear on the other side of the wall.
metostopholes@lemmy.world 10 months ago
en.m.wikipedia.org/wiki/Quantum_tunnelling
perviouslyiner@lemmy.world 10 months ago
Psi vs distance, if it’s the Schrödinger equation?
BB84@mander.xyz 10 months ago
The red curve is real part of Psi 😉.