We investigate the relation between time-dependent Hartree-Fock (TDHF) states and the adiabatic eigenstates by constructing a boost-invariant single-particle Hamiltonian. The method is numerically realized within a full three-dimensional TDHF which includes all the terms of the Skyrme energy functional and without any symmetry restrictions. The study of a free translational motion of a nucleus demonstrates the validity of the concept of boost-invariant and adiabatic TDHF states. The interpretation is further corroborated by the test case of fusion of $^{ 16}{ \textrm O}$+$^{ 16}{ \textrm O}$. As a first application, we present a study of the nuclear Landau-Zener effect on a collision of $^{ 4}{ \textrm { He}}$+$^{ 16}{ \textrm O}$.
Categories: nucl-th