2008/09/30 by Enno Lenzmann, Mathieu Lewin · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Astronomy #Astrophysics #Atomic physics #Chemistry #Hartree–Fock method #Neutron #Neutron star #Nuclear physics #Numerical methods in inverse problems #Physics #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #Stars #White (mutation) #White dwarf #math-ph #math.AP #math.MP #msc:35Q55 #msc:49J40
paper · pdf · doi:10.1215/00127094-2010-013
published as Duke Math. J. 152, no. 2 (2010), 257-315 · 43 pages. Third and final version. Section 5 revised and main result extended. To appear in Duke Math. Journal.
arxiv created 2010/03/23 · openalex publication_date 2010/03/31 · arxiv updated 2019/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove the existence of minimizers for Hartree-Fock-Bogoliubov (HFB) energy functionals with attractive two-body interactions given by Newtonian gravity. This class of HFB functionals serves as a model problem for self-gravitating relativistic Fermi systems, which are found in neutron stars and white dwarfs. Furthermore, we derive some fundamental properties of HFB minimizers such as a decay estimate for the minimizing density. A decisive feature of the HFB model in gravitational physics is its failure of weak lower semicontinuity. This fact essentially complicates the analysis compared to the well-studied Hartree-Fock theories in atomic physics