M
Mathieu Lewin
Researcher at Paris Dauphine University
Publications - 194
Citations - 4903
Mathieu Lewin is an academic researcher from Paris Dauphine University. The author has contributed to research in topics: Ground state & Electron. The author has an hindex of 38, co-authored 187 publications receiving 4135 citations. Previous affiliations of Mathieu Lewin include French Institute for Research in Computer Science and Automation & University of Copenhagen.
Papers
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Derivation of Hartree's theory for generic mean-field Bose systems
TL;DR: In this paper, a weak version of the quantum de Finetti theorem is used to prove the validity of Hartree's theory for the ground state energy of bosonic quantum systems in the mean-field regime.
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Bogoliubov Spectrum of Interacting Bose Gases
TL;DR: In this paper, the large-N limit of a system of N bosons interacting with a potential of intensity 1/N was studied and the convergence of lower eigenvalues and eigenfunctions towards that of the Bogoliubov Hamiltonian (up to a convenient unitary transform).
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The Crystallization Conjecture: A Review
Xavier Blanc,Mathieu Lewin +1 more
TL;DR: The crystallization conjecture as discussed by the authors states that, in appropriate physical conditions, interacting particles always place themselves into periodic configurations, breaking the natural translation-invariance of the system, which is still largely open.
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Geometric methods for nonlinear many-body quantum systems
TL;DR: In this paper, a weak topology on many-body states is defined, which appropriately describes the physical behavior of the system in the case of lack of compactness, that is when some particles are lost at infinity.
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Variational methods in relativistic quantum mechanics
TL;DR: In this article, the authors present a generalization of the Dirac-Fock model to the case of a spin-1/2 fermion, and present a new kind of Hardy-like inequalities and a stable algorithm to compute the eigenvalues.