Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime-Reference-Cited by-同舟云学术

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Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime

Published:2019-07-13 Issue:3 Volume:374 Page:2097-2150
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Benedikter Niels^ORCID,Nam Phan Thành,Porta Marcello,Schlein Benjamin,Seiringer Robert

Funder

European Research Council

Austrian Science Fund

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

National Center of Competence in Research

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-019-03505-5.pdf

Reference67 articles.

1. Arponen, J., Pajanne, E.: Theory of electron gas as a system of interacting collective excitations I. Boson formalism. Ann. Phys. 91(2), 450–480 (1975)

2. Bach, V.: Error bound for the Hartree–Fock energy of atoms and molecules. Commun. Math. Phys. 147(3), 527–548 (1992)

3. Bach, V.: Accuracy of mean field approximations for atoms and molecules. Commun. Math. Phys. 155(2), 295–310 (1993)

4. Benedikter, N.: Interaction corrections to spin-wave theory in the large-$$S$$ limit of the quantum Heisenberg ferromagnet. Math. Phys. Anal. Geom. 20(2), 5 (2017)

5. Benedikter, N., Jakšić, V., Porta, M., Saffirio, C., Schlein, B.: Mean-field evolution of fermionic mixed states. Commun. Pure Appl. Math. 69(12), 2250–2303 (2016)

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