# How was the quantum three-body problem solved?

What method was used to solve the quantum three-body problem? I heard it was solved and was not sure about the status of the problem.

Three-body special cases can have closed solutions. For $\ce{H2+}$, the heavy nuclei are assumed to be stationary while the electron travels. Confocal ellipsoidal coordinates then describe the system to first order, followed by perturbation treatments because the nuclei do move. As stated, there are no general analytical forms for the three-body problem overall.