Quantum mechanical tunneling and reflection simulation

I developed this simulation as a course project for my Nanoelectronics class. It solved time-dependent Schrödinger equation for an electron trying to tunnel through a potential barrier or well in six different scenarios. The numerical method I used was described in a classic paper of American Journal of Physics, 1967.
http://ergodic.ugr.es/cphys/lecciones/SCHROEDINGER/ajp.pdf

This is also my first attempt to video editing for which I used Kdenlive and FFmpeg. Please give your feedback.

In the future, I plan to make more movies out of my past and future simulations and to upload to Youtube. So please subscribe to my channel!

Category:

Science & Technology

Tags:

• Quantum
• physics
• Schrödinger
• Tunneling
• Electron
• Simulation
• Animation

[aamirahmedkhan]

@nageljr

Thanks for the compliment. This is also Matlab but I rendered it in very high quality. And yes, please give me that reference you are mentioning.

[kaller99]

The particle is everywhere and everwhence, all motion is illusion, a mental construction, what moves is probablity amplitudes. If you want to imagine particles moving then you must imagine some of them them bouncing off the slits thenselves in the double slit experiments and heading back to in the direction of the source. That is what the first example of the potential well is showing.

[NickBlackDIN]

is this basically how those MiM diode's work?

[ivalmian]

really cool!

[vochitoken]

I can´t make work the simulation on Matlab...having trouble with the array indices begining at 1...bummer!

[shadywalker]

Awesome Awesome *****

[vochitoken]

@nageljr

I am interested too!

[gofish6060]

great vid and comments! i love the music to enhance the education =)

[nageljr]

Also, the method described in the paper you cited is good, but it has been polished a little since then. I can give you a nice reference if you're interested.

[nageljr]

Hey, that's great work! What program did you use? Mine were all in Matlab.