Generalization of Lieb's variational principle to Bogoliubov–Hartree–Fock theory

DOI10.1063/1.4853875zbMath1295.81146OpenAlexW2001369737MaRDI QIDQ5414731

Sébastien Breteaux, Edmund Menge, Hans Konrad Knörr, Volker Bach

Publication date: 7 May 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4853875

zbMATH Keywords

variational principle

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Molecular physics (81V55) Variational principles of physics (49S05)

Related Items (4)

The time-dependent Hartree-Fock-Bogoliubov equations for bosons ⋮ The Bogoliubov free energy functional. I: Existence of minimizers and phase diagram ⋮ Variational principle of Bogoliubov and generalized mean fields in many-particle interacting systems ⋮ Differential equations of quantum mechanics

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• Minimization of the energy of the nonrelativistic one-electron Pauli-Fierz model over quasifree states
• On quasifree states of CAR and Bogoliubov automorphisms
• Reduction of the N-Particle Variational Problem

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