Bogolubov-Hartree-Fock theory for strongly interacting fermions in the low density limit

DOI10.1007/S11040-016-9209-XzbMath1413.82010arXiv1511.08047OpenAlexW2268404365WikidataQ59469563 ScholiaQ59469563MaRDI QIDQ1663374

Gerhard Bräunlich, Robert Seiringer, Christian Hainzl

Publication date: 21 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08047

zbMATH Keywords

Bose-Einstein condensationlow density limitpairingBCS-theoryBogolubov-Hartree-Fock functionalGross-Pitaevskiĭ functional

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of superfluids (82D50)

Related Items (5)

A lower bound for the BCS functional with boundary conditions at infinity ⋮ Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in general external fields ⋮ Microscopic derivation of Ginzburg-Landau theory and the BCS critical temperature shift in a weak homogeneous magnetic field ⋮ Persistence of translational symmetry in the BCS model with radial pair interaction ⋮ Condensation of fermion pairs in a domain

Cites Work

• Unnamed Item
• Low density limit of BCS theory and Bose-Einstein condensation of fermion pairs
• On blowup for time-dependent generalized Hartree-Fock equations
• Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs
• The BCS functional for general pair interactions
• The BCS critical temperature for potentials with negative scattering length
• Generalized Hartree-Fock theory and the Hubbard model
• The critical temperature for the BCS equation at weak coupling
• Dynamics of Bose-Einstein condensates of fermion pairs in the low density limit of BCS theory
• The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
• Microscopic derivation of Ginzburg-Landau theory
• Translation-invariant quasi-free states for fermionic systems and the BCS approximation
• Bogolubov–Hartree–Fock mean field theory for neutron stars and other systems with attractive interactions
• A numerical perspective on Hartree−Fock−Bogoliubov theory

This page was built for publication: Bogolubov-Hartree-Fock theory for strongly interacting fermions in the low density limit