![[OC] Hydrogen-like orbitals, Dirac solution](https://www.byteseu.com/wp-content/uploads/2025/03/sny0uutqlvoe1-1536x864.jpeg "[OC] Hydrogen-like orbitals, Dirac solution")
I didn’t find much visualizations using Dirac solutions, but there’re major differences between Schrödinger solution and Dirac solution. So I made this chart. The shells are equal-probability surfaces, while the arrows are probability flows.
Source of equation: https://en.m.wikipedia.org/wiki/Hydrogen-like_atom
Visualized using: Mathematica 13.2
Posted by sunshinewings
5 Comments
Put the source information as a comment please
Source of equation: https://en.m.wikipedia.org/wiki/Hydrogen-like_atom
Visualized using: Mathematica 13.2
Thank you for showing me this. I’m a undergraduate physics student and never saw these.
Did you take the solutions stated in the article and graph them? What do you think about uploading the images to wikimedia so they are displayed into the article?
“The states are labeled using the letters S, P, D, F et cetera to stand for states with ℓ equal to 0, 1, 2, 3”
because it’s not already complicated enough, let’s add another layer of labeling indirection!
Great visualization! The inclusion of probability flows adds a lot of depth to understanding the Dirac solution.