I have implemented the Dirac equation for a free electron in space with no external electromagnetic filed in desmos. However, since the output is usually only a probability space |psi(x, t)|^2 which just gives 1 for all space, the only other interesting option is the spinor field. Essentially, the dirac equation includes a spinor in it (actually 4 spinors for each up/down spin and the positive and negative energy solutions but Im focusing on up-positive) which multiplies with some normalization coefficients and other stuff. Multiplying the components with the spinor gives you 4 complex valued outputs/1 spinor output. The problem is that fully representing this spinor field would take 8 dimensions (4 real, 4 imaginary), but even representing Re and Im seperately would take 4 dimensions. Does anybody know of a better way to accurately represent the dirac spinor field output in desmos 3D? [Copy of] Project #9a [Dirac Wavefunction of Free Electron in 3D, collapsed 4D] | Desmos
I have been trying to implement the solution to the dirac equation for the hydrogen atom in desmos, but now it says that the definitions are nested too deeply. Graph here: Project #15 [Real Dirac atomic orbitals] | Desmos . NOTE: I implemented the “Check“ actions so that it wouldn’t crash anyone’s computer immediately on opening it. Make sure that your computer can actually handle the desmos graph before attempting to render it. It won’t render right away on opening the graph, but once you set all of the Checks to 1 it will render.
This forum is intended for Desmos classroom Activity Builder. Most users here are teachers; I’d say mostly at middle or high school level. So, while there may be someone with the background to address your question, you may have more luck elsewhere. I know that the desmos subreddit has many folks asking and answering questions about particularly complex graphs.