If mathematicians somehow find an exact analytical solution to the three-body problem, would that help solve the Schrödinger equation exactly and analytically for the helium atom?
And more generally, would solving the classical $n$-body problem analytically directly lead to a generalized analytical solution for the Schrödinger equation?
What additional considerations/principles are there between classical and quantum mechanics that must be considered?
Also, is there any current mathematical research being done in this field?
