# Quantum Tunnelling Simulation

Quantum Tunnelling Simulation

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1. Fiduciary_One says:

Hey, my physics degree is actually helping me understand something!

That’s really cool, thanks for posting.

2. cdo256 says:

This is from a [simulation I made on Khan Academy](https://www.khanacademy.org/computer-programming/quantum-tunnelling/5166410192060416). You can go there and fiddle with the variables if you’re so inclined.

**Description**:

This simulation shows an electron passing through a thin barrier. In classical mechanics, the electron doesn’t have enough energy to get over the barrier. But everything is probabilistic in quantum mechanics (ie. the real world), so there is a small chance that the electron will travel through the barrier and end up on the other side. This is seen by the wave function splitting after hitting the barrier.

The top graph shows the distribution of position (white) and potential energy (red). The bottom graph shows momentum. The blue and green lines on both graph represents the real and imaginary components of the wavefunction and its Fourier transform.

On the right are the average (〈〉) and standard deviation (Δ) of the position (x) and momentum (p).

Check out this video for an animated explanation of quantum tunnelling: https://www.youtube.com/watch?v=RF7dDt3tVmI

3. LiQuiD0v3rkiLL says:

THERE SHOULD NEVER BE MORE THAN ONE DOT MORTY

4. AJGrayTay says:

With only a layman’s understanding of quantum tunneling, this gif still kinda fries my brain.

5. MarcR1122 says:

Fucking beautiful.

Lewd

7. [deleted] says:

am i supposed to know whats happening?

8. T-Rex96 says:

Programmed this myself in c++ which was really fun. In Uni we only ever saw tunneling for plane waves which is pretty boring

9. Nilbobby says:

Is the amplitude of the wave decreasing over time after passing through the barrier? Maybe I just can’t see it but it looks like it is staying constant