2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/92793We 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.4 pages, source code for the calculation availableQuantum Physicstext