output
20022026
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations

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Showing 2007 · math-phShow all

6 papers · 2 filters

math-ph2007★ 40 cited

Ground State and Charge Renormalization in a Nonlinear Model of Relativistic Atoms

Philippe Gravejat, Mathieu Lewin, Eric Sere

We study the reduced Bogoliubov-Dirac-Fock (BDF) energy which allows to describe relativistic electrons interacting with the Dirac sea, in an external electrostatic potential. The…

math-ph2007

Mean field limit for bosons and infinite dimensional phase-space analysis

Ammari Zied, Nier Francis

This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics.…

math-ph2007★ 24 cited

Random repeated interaction quantum systems

Laurent Bruneau, Alain Joye, Marco Merkli

We consider a quantum system S interacting sequentially with independent systems E_m, m=1,2,... Before interacting, each E_m is in a possibly random state, and each interaction is…

math-ph2007★ 10 cited

Anisotropic Lavine's formula and symmetrised time delay in scattering theory

Rafael Tiedra de Aldecoa

We consider, in quantum scattering theory, symmetrised time delay defined in terms of sojourn times in arbitrary spatial regions symmetric with respect to the origin. For potential…

math-ph2007

Variational methods in relativistic quantum mechanics

Maria J. Esteban, Mathieu Lewin, Eric séré

This review is devoted to the study of stationary solutions of linear and nonlinear equations from relativistic quantum mechanics, involving the Dirac operator. The solutions are f…

math-ph2007★ 101 cited

A new approach to the modelling of local defects in crystals: the reduced Hartree-Fock case

Eric Cancès, Amélie Deleurence, Mathieu Lewin

This article is concerned with the derivation and the mathematical study of a new mean-field model for the description of interacting electrons in crystals with local defects. We w…