| An extended time-dependent Hartree-Fock theory (TDHF) is formulated from the BBGKY hierarchy of the equations of motion for density matrices. This theory, called time-dependent density-matrix theory (TDDM), consists of coupled equations for the two-body as well as one-body density-matrices. To make numerical calculation feasible, these density-matrices are expanded in a single particle basis which is the solution of a TDHF-like equation.;TDDM is applied to the small amplitude isoscalar quadrupole motions of ;The fusion reaction of ;The mass fluctuations in damped reactions of ;The small amplitude limit of TDDM is studied. It is found that TDDM reduces to the random phase approximation (RPA), second random phase approximation (SRPA) and shell model under different approximations. Thus the small amplitude limit of TDDM is more general than these existing theories. |
