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Mathematics of Density Functional Theory

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Publications

Unique Continuation for Many-Body Schrödinger Operators and the Hohenberg-Kohn Theorem

Author(s): Louis Garrigue
Published in: Mathematical Physics, Analysis and Geometry, Issue 21/3, 2018, ISSN 1385-0172
DOI: 10.1007/s11040-018-9287-z

Lower bound on the Hartree-Fock energy of the electron gas

Author(s): David Gontier, Christian Hainzl, Mathieu Lewin
Published in: Physical Review A, Issue 99/5, 2019, ISSN 2469-9926
DOI: 10.1103/physreva.99.052501

Existence of Hartree–Fock excited states for atoms and molecules

Author(s): Mathieu Lewin
Published in: Letters in Mathematical Physics, 2018, ISSN 0377-9017
DOI: 10.1007/s11005-017-1019-y

Domains for Dirac–Coulomb min-max levels

Author(s): Maria Esteban, Mathieu Lewin, Éric Séré
Published in: Revista Matemática Iberoamericana, 2019, ISSN 0213-2230
DOI: 10.4171/rmi/1074

Semi-classical limit of the Levy–Lieb functional in Density Functional Theory

Author(s): Mathieu Lewin
Published in: Comptes Rendus Mathematique, Issue 356/4, 2018, Page(s) 449-455, ISSN 1631-073X
DOI: 10.1016/j.crma.2018.03.002

The local density approximation in density functional theory

Author(s): Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
Published in: Pure and Applied Analysis, Issue 2/1, 2020, Page(s) 35-73, ISSN 2578-5885
DOI: 10.2140/paa.2020.2.35

A forward-backward random process for the spectrum of 1D Anderson operators

Author(s): Raphael Ducatez
Published in: Electronic Communications in Probability, Issue 24/0, 2019, ISSN 1083-589X
DOI: 10.1214/19-ECP232

Statistical mechanics of the uniform electron gas

Author(s): Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
Published in: Journal de l’École polytechnique — Mathématiques, Issue 5, 2018, Page(s) 79-116, ISSN 2270-518X
DOI: 10.5802/jep.64

Derivation of the Dipolar Gross--Pitaevskii Energy

Author(s): Arnaud Triay
Published in: SIAM Journal on Mathematical Analysis, Issue 50/1, 2018, Page(s) 33-63, ISSN 0036-1410
DOI: 10.1137/17m112378x

Compactness of Molecular Reaction Paths in Quantum Mechanics

Author(s): Ioannis Anapolitanos, Mathieu Lewin
Published in: Archive for Rational Mechanics and Analysis, Issue 236/2, 2020, Page(s) 505-576, ISSN 0003-9527
DOI: 10.1007/s00205-019-01475-5

Floating Wigner crystal with no boundary charge fluctuations

Author(s): Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
Published in: Physical Review B, Issue 100/3, 2019, ISSN 2469-9950
DOI: 10.1103/PhysRevB.100.035127

Spin Symmetry Breaking in the Translation-Invariant Hartree--Fock Electron Gas

Author(s): David Gontier, Mathieu Lewin
Published in: SIAM Journal on Mathematical Analysis, Issue 51/4, 2019, Page(s) 3388-3423, ISSN 0036-1410
DOI: 10.1137/19m1243142

Semi-classical limit of large fermionic systems at positive temperature

Author(s): Mathieu Lewin, Peter S. Madsen, Arnaud Triay
Published in: Journal of Mathematical Physics, Issue 60/9, 2019, Page(s) 091901, ISSN 0022-2488
DOI: 10.1063/1.5094397

Hohenberg–Kohn Theorems for Interactions, Spin and Temperature

Author(s): Louis Garrigue
Published in: Journal of Statistical Physics, Issue 177/3, 2019, Page(s) 415-437, ISSN 0022-4715
DOI: 10.1007/s10955-019-02365-6

Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases

Author(s): Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Published in: Journal of Mathematical Physics, Issue 60/6, 2019, Page(s) 061901, ISSN 0022-2488
DOI: 10.1063/1.5094331

Blow-Up Profile of Rotating 2D Focusing Bose Gases

Author(s): Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Published in: Macroscopic Limits of Quantum Systems - Munich, Germany, March 30 - April 1, 2017, Issue 270, 2018, Page(s) 145-170
DOI: 10.1007/978-3-030-01602-9_7

The interacting 2D Bose gas and nonlinear Gibbs measures

Author(s): Lewin , Mathieu; Nam , Phan Thành; Rougerie , Nicolas
Published in: Oberwolfach Reports, 2018