Since there are no known solutions for many-electron systems (there are solutions for one-electron systems such as hydrogenic atoms and the diatomic hydrogen cation), the problem is solved numerically.
Karena tidak ada penyelesaian yang diketahui bagi sistem banyak-elektron (terdapat penyelesaian bagi sistem satu-elektron seperti atom hidrogenik dan kation hidrogen diatomik), permasalahan tersebut diselesaikan secara numerik.