Zero-Point Fluctuations of the Nuclear Shapes in the Adiabatic Time-Dependent Hartree-Fock Approach

Abstract

Adiabatic time-dependent Hartree-Fock theory is used to describe the motion of the system around stable equilibrium. It is shown that after a proper quantization of the collective variables this method leads to matrix elements of operators between collective states which are identical to those obtained in the generator coordinate method. In particular both predict equal zero-point motion effects in the ground-state density and energy.