2009/08/31 by H. Hergert, R. Roth, Robert Roth · 21 citations
Chemistry · Engineering · Mathematics · Physics and Astronomy · #A priori and a posteriori #Astronomical and nuclear sciences #Chemistry #Classical mechanics #Covariant Hamiltonian field theory #Hamiltonian (control theory) #Hamiltonian system #Mathematical optimization #Mathematical physics #Mathematics #Nuclear physics research studies #Nuclear reactor physics and engineering #Operator (biology) #Physics #Quantum mechanics #Statistical physics #nucl-th
paper · pdf · doi:10.1016/j.physletb.2009.10.100
published in Physics Letters B 682(1), 27-32 (Elsevier BV) · 6 pages, 5 figures
openalex publication_date 2009/11/01 · arxiv created 2009/11/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss the implications of using an intrinsic Hamiltonian in theories without particle-number conservation, e.g., the Hartree–Fock–Bogoliubov approximation, where the Hamiltonian's particle-number dependence leads to discrepancies if one naively replaces the particle-number operator by its expectation value. We develop a systematic expansion that fixes this problem and leads to an a posteriori justification of the widely-used one- plus two-body form of the intrinsic kinetic energy in nuclear self-consistent field methods. The expansion's convergence properties as well as its practical applications are discussed for several sample nuclei.