2014/11/28 by Y. Tanimura, Yusuke Tanimura, K. Hagino +2 · 38 citations
Physics and Astronomy · #Astronomical and nuclear sciences #Classical mechanics #Covariant transformation #Density functional theory #Fermion #Formalism (music) #Geometry #Hamiltonian (control theory) #Hamiltonian formalism #Inverse #Mathematical optimization #Mathematical physics #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical physics #nucl-th
paper · pdf · doi:10.1093/ptep/ptv083
published in Progress of Theoretical and Experimental Physics 2015(7), 073D01 (University of Oxford) · 18 pages, 16 figures
arxiv created 2014/11/28 · openalex publication_date 2015/07/01 · arxiv updated 2015/07/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In contrast to non-relativistic approaches, 3D mesh calculations with a relativistic energy density functional have met with difficulties because of the challenges of variational collapse and fermion doubling. We overcome these difficulties by developing a novel method based on the ideas of the Wilson fermion as well as the variational principle for the inverse Hamiltonian. We demonstrate the applicability of this method by applying it to |16|O, |24|Mg, and |28|Si nuclei, providing a detailed explanation of the formalism and verification of numerical implementation.