@starkatt I've always found it frustrating that the Schrödinger equation is not, in general, solvable.
@Felthry I'll confess, my math isn't nearly strong enough to actually understand it.
@Felthry (farthest I got was a couple half-remembered semesters of college calculus.)
@starkatt It's a differential equation to find an eigenfunction, basically. iħ∂/∂t |Ψ(r,t)⟩ = [-ħ²/(2μ)∇² + V(r,t)] |Ψ(r,t)⟩
The problem is, there is a finite number (I think it was three?) of non-trivially distinct functions V such that Ψ has a unique solution (up to choice of gauge)
@Felthry "trololol you think the universe is made out of /things/..."