If we solve the Bohr-Oppenheimer approximation the entire field of chemistry goes out the window. A new golden age of science fiction materials and chemicals

>solve an approximation
>solve
>an approximation
Try analytically solving the Schrödinger equation for the hydrogen atom.

>>16723112 (OP)
Shut up fag, I'm trying to figure out how to use rocks to make people New Types.

>>16723115
>infinite series approximations cannot be solved analytically

>>16723126
Not every convergent series has a known closed-form expression in terms of elementary functions. You can buy entire graduate textbooks on the subject and how to obtain such expressions using complex analysis.

>>16723141
I thought in 2025 we would have moved to more advanced functions than elementary functiond.

looking back de broglie might have said something about the potentiality of benzene eigenvalue or something like that

>>16723240
“Advanced” functions usually refer to solutions to particular ODEs. For example Bessel functions or Mathieu functions. Abramowitz&Stegun is a thick tome dedicated to these. And those are just basic ODEs you get from Laplace and Helmholtz equations.