The quantum mechanical model of the atom?

"The quantum mechanical model of the atom" is a pretty vague phrase, but basically it can be thought of as the set of solutions to the Schroedinger equation HΨ = EΨ . (Yeah, that looks like the world's stupidest equation with solution H = E, but what's important to understand is that H isn't a variable or number, it's an operator. That means we don't get a single E for all Ψ, we get a collection of Es each corresponding to a different function Ψ.)