# Is there a way to model schrödinger's wave equations in blender?

I have the task to model the orbitals of an atom in blender for an animation. I know the orbitals of electron around an atom can be gotten from Schrödinger's wave equations. How would I be able to model that in blender?

I can try to explain a bit more about what is going on. (I am as lost as you are) The Schrödinger wave equation is a linear partial differential equation. The Schrödinger equation for the hydrogen atom (or a hydrogen-like atom) is

$${\displaystyle E\psi =-{\frac {\hbar ^{2}}{2\mu }}\nabla ^{2}\psi -{\frac {q^{2}}{4\pi \varepsilon _{0}r}}\psi }$$

The Schrödinger for a hydrogen atom can be solved by separation of variables. Spherical polar coordinates are most convenient according to Wikipedia. $${\displaystyle \psi (r,\theta ,\varphi )=R(r)Y_{\ell }^{m}(\theta ,\varphi )=R(r)\Theta (\theta )\Phi (\varphi )}$$

• Can it be parametric? Sep 15, 2020 at 19:12
• could you show some background information/ examples for those that dont now about physics? Maby its an easy behavior and the math just stands in the way ;)
– A M
Sep 15, 2020 at 21:36
• Something like in this movie here? youtube.com/watch?v=lH9SNnQCs54 How precise do you need your model to be? If it's just a visual aid for the lecture you could just make the model manually, no need for fancy coding/maths. Sep 16, 2020 at 2:09
• I presume this can be achieved using a volumetric material with the equation defining the density at any particular XYZ in the volume. However, the physics is a bit beyond me. Can you formulate the equation into a form that doesn't assume knowledge of the physics involved? Sep 16, 2020 at 12:44