Introduction of generator coordinates by the local-scale transformation method

A new way for introducing collective degrees of freedom in the framework of the generator-coordinate method /GCM/ is suggested in terms of local-scale point transformations. It is shown that the collective motions, connected with the local density evolution, can be described by single generator coodinate. The investigation of the collective properties of the system is reduced to a determination of two functions: i/ the weighting functions in the GCM, and ii/ a scalar function related to the local density of the system. The suggested approach is compared with GCM where the generatot coordinates are determined by the constrained Hartree-Fock method