2007/03/31 by Lu Guo, J. A. Maruhn, P.‐G. Reinhard +1 · 1 citation
Mathematics · Physics and Astronomy · #Adiabatic invariant #Adiabatic process #Adiabatic theorem #Advanced Chemical Physics Studies #Atomic and Molecular Physics #Eigenvalues and eigenvectors #Hamiltonian (control theory) #Invariant (physics) #Mathematical physics #Mathematics #Mean field theory #Nuclear physics research studies #Physics #Quantum mechanics #nucl-th
paper · pdf · doi:10.1103/physrevc.76.014601
published as Phys.Rev.C76:014601,2007 · 8 pages, 3 figures
openalex publication_date 2007/07/02 · arxiv created 2007/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 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 16O+16O. As a first application, we present a study of the nuclear Landau-Zener effect on a collision of 4He+16O.