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Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs

Lenzmann, Enno and Lewin, Mathieu. (2010) Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs. Duke mathematical journal, 152 (2). pp. 257-315.

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Official URL: http://edoc.unibas.ch/49580/

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Abstract

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
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Lenzmann)
UniBasel Contributors:Lenzmann, Enno
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Duke University Press
ISSN:0012-7094
Note:Publication type according to Uni Basel Research Database: Journal article
Identification Number:
Last Modified:29 Nov 2017 10:43
Deposited On:29 Nov 2017 10:43

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