Extended Generator Coordinate Method: eGCM

The generator coordinate method (GCM) was introduced in nuclear physics by Wheeler and his collaborators in 1950's and it is still one of the mostly used approximations for treating nuclear large amplitude collective motion (LACM). GCM was inspired by similar methods introduced in molecular and condensed matter physics in the late 1920's, after the Schr\"odinger equation became the tool of choice to describe quantum phenomena. The interest in the 1983 extension of GCM by Reinhard, Cusson and Goeke, which includes internal excitations, was revived in recent years, but unfortunately this new time-dependent GCM (TDGCM) framework has a serious flaw, which prevents it from describing correctly many anticipated features in a properly formulated TDGCM framework, such as interference and entanglement. I present here an alternative formulation, the extended GCM (eGCM), which is free of difficulties encountered in previous TDGCM implementations.