Quantum Tunneling Simulation.

Just a lil' particle shot into potential barriers.
Crank-Nicholson Algorithm was used to solve the time dependent Schrodinger's Equation.

watch in 1080p roaar!!!

[avananana]

As someone who has no clue about advanced quantum mechanics I can assure you that this simulation is accurate.

[michaelc.]

What’s always funny about the schrodinger equation is that its solutions always look like your code is failing because the fast oscillations are something you’d typically only expect when something’s gone wrong

[Dapyking]

I like the "Potential Barriers" as if the particle can just go, "Nope!" To the barriers.

[WoolyCow]

honestly im amazed there arent a gadjillion people in the comments pretending to have any idea what just happened...

[olegshevchenko]

The way I always envision it to myself is that the wave function spreads across the orbital in a matter of picoseconds, so electron density is the only meaningful thing to talk about for us, chemists.

[burgershark]

I have no idea what is happening here, but its entertaining

[Mrlonely]

The interpretation that I make is that
The particle has some probability to cross the barrier or not. This is represented by the waves as shown. Now, I don't care whether the particle acts like wave or not. But its pure probability. Correct me or give me more insight...

[sumdumbmick]

go into minecraft. make a small box out of cobblestone, with an internal space of only 1 block wide and 2 blocks high, and leave the top open. now equip the egg of any large mob, like a horse or cow, and spam spawn it into the box. after a while some will escape by glitching through the walls. the mathematics that describes this is identical to the probability equations in QM, but the kicker here is that we can see exactly what's happening, and it doesn't have shit to do with wave functions.

[victorsuarez]

Was this done using discrete value representation (DVR)? How did you initialize the wave packet? It looks funky at the start with all the squiggles.

[tiagotiagot]

What is the physical meaning of the high-frequency squiggles that appear inside the barriers at some points? Is it just an artifact of the simulation or is it something that actually happens?

[bokaj]

that is awesome, wish i could understand what was going on

[wkblack]

What are your end boundary conditions?

[ic]

i dont know what im looking at. but its cool

[gustavoaroeira]

Hmmm my issue with it is that the wave packet height and the barrier height measure different things. So our first impressions looking at this is to assume that it is tunnelling because the wave packet is shorter than the energy barrier, but in reality we need to know what's the energy of the wave packet to make that comparison.

[mohammadanwar]

I'd be curious to see it's effect on different types of mediums (barriers) and different frequency of waves. Perhaps our understanding of what solids are is limited. Sounds travel better through solids because propagation of waves through tightly packed atoms results in a more effective transmission of energy. Perhaps if the medium had a different resonant frequency it would be better at nullifying the propagating wave? like lead.

[ToniMorton]

so is this how radio frequencies can punch through solid surfaces?

[ЕвгенийПерхун-зп]

@WoolyCow, so if nobody have done that yet…

We’ll actually it’s not hard to understand at all. Red pick are step potentials, like a wall. And green curve line is probability of the particle to be in that place. Simulation shows that according to quantum physics there is always a probability that particle will go through the wall. Probability will decrease with growth of step potential but will never be zero.

In case you wondering, I know it because I’m a bachelor in nuclear physics but you could understand the same thing in 10 minutes reading the Wikipedia. Without going deep into formulas it’s really not that hard to understand conceptually.

Amazing video btw! I wish some of my teachers in uni have showed me something like this

[realcirno]

This will have terrible consequences for the economy

[tuskiomisham]

why are the imaginary and real components slightly out-of-phase?

[audilicous]

Holy crap this has made visualizing ocean waves MUCH easier. So obvious why they grow near shore now, that energy has nowhere else to go but up!