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) |
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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: | 27 Jul 2018 14:00 |

Deposited On: | 29 Nov 2017 10:43 |

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