Macro-Microscopic Approach to Nuclear Dynamics

An approach that permits the projection of the dynamics of a quantal multibody system onto the space of a few appropriately chosen collective observables is discussed. Using the virial theorems method, one arrives at the equations of motion in the restricted space of collective variables which describe the distribution of nucleons in the phase space, i.e., in the configuration and momentum spaces. A general scheme of the construction of the collective Hamiltonian that describes the dynamics of chosen collective variables consistent with the underlying microscopic Hamiltonian is proposed. The collective energy dissipation is accounted for by introducing a "random force" coupling the collective and intrinsic variables. The study of collective motion within the models obtained in this manner can be achieved on the classical and quantum levels depending on the nature of the problems under examination.