Calculating the hydrogen molecule ion using the two particle   Schr"odinger equation
  We calculate the hydrogen molecule ion from the two particle Schr"odinger equation. Therefore a very simple two particle basis set is chosen. We suggest this ansatz to be used to solve the "two electron one phonon" three particle wave-function of a BCS superconductor. Possibly it can give hints for high temperature superconductors. 
D. Schmicker