The Electron nuclear dynamics (END) theory is a time-dependent, nonadiabati
c approach to molecular processes. It has been implemented in the ENDyne co
de at the level of approximation that treats the nuclei as classical partic
les and represents the electrons with a single complex spin unrestricted de
terminant. This level of theory has been successfully applied to a wide ran
ge of ion-atom and ion-molecule reactive collisions. In this paper the exte
nsions of the END theory are outlined in some detail through a hierarchy of
approximations to the level of full quantum mechanical treatment of all pa
rticipating particles.