%0 Journal Article %T Boost-invariant mean field approximation and the nuclear Landau-Zener effect %A Lu Guo %A J. A. Maruhn %A P. -G. Reinhard %J Physics %D 2007 %I arXiv %R 10.1103/PhysRevC.76.014601 %X 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 $^{4}{\textrm {He}}$+$^{16}{\textrm O}$. %U http://arxiv.org/abs/nucl-th/0703082v2