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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The multiconfiguration methods in quantum chemistry: Palais–Smale condition and existence of minimizers
TL;DR: Lewin et al. as mentioned in this paper used a Palais-smale condition with Morse-type information, whose proof is based on the Euler-Lagrange equations, written in a simple and useful way.
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The nonlinear Schrödinger equation for orthonormal functions: I. Existence of ground states
TL;DR: In this paper, the existence of ground states for all systems of orthonormal functions in the Kohn-Sham model with a large Dirac exchange constant was shown for a quantum crystal.
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The Nonlinear Schrödinger Equation for Orthonormal Functions II: Application to Lieb–Thirring Inequalities
TL;DR: Gontier et al. as discussed by the authors proved that the best Lieb-Thirring constant is not attained for a potential having finitely many eigenvalues. And they also showed that the cubic nonlinear Schrodinger equation admits no orthonormal ground state in 1D for more than one function.
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On Singularity formation for the L^2-critical Boson star equation
Enno Lenzmann,Mathieu Lewin +1 more
TL;DR: In this paper, a general, nonperturbative result about finite-time blowup solutions for the $L 2 -critical boson star equation was proved, and it was shown that the limiting measure exhibits minimal mass concentration.
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The Nonlinear Schrödinger Equation for Orthonormal Functions: Existence of Ground States
TL;DR: In this article, the authors studied the nonlinear Schrodinger equation for systems of N orthonormal functions and proved the existence of ground states for all N when the exponent p of the non linearity is not too large.