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19932020
most citedEpitaxial Growth of a Silicene Sheet

1.4k citations

Showing 2012 · math-phShow all

7 papers · 2 filters

math-ph2012★ 11 cited

Bogoliubov spectrum of interacting Bose gases

Mathieu Lewin, Phan Thành Nam, Sylvia Serfaty +1

We study the large-N limit of a system of N bosons interacting with a potential of intensity 1/N. When the ground state energy is to the first order given by Hartree's theory, we s…

math-ph2012★ 19 cited

Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields

Philippe Gravejat, Christian Hainzl, Mathieu Lewin +1

Using the Pauli-Villars regularization and arguments from convex analysis, we construct solutions to the classical time-independent Maxwell equations in Dirac's vacuum, in the pres…

math-ph2012★ 12 cited

Approach to equilibrium for the stochastic NLS

J. L. Lebowitz, Ph. Mounaix, W. -M. Wang

We study the approach to equilibrium, described by a Gibbs measure, for a system on a -dimensional torus evolving according to a stochastic nonlinear Schrödinger equation (SNLS)…

math-ph2012★ 5 cited

Local energy decay of massive Dirac fields in the 5D Myers-Perry metric

Thierry Daude, Niky Kamran

We consider massive Dirac fields evolving in the exterior region of a 5-dimensional Myers-Perry black hole and study their propagation properties. Our main result states that the l…

math-ph2012★ 1 cited

Topological aspects of generalized Harper operators

Giuseppe De Nittis, Giovanni Landi

A generalized version of the TKNN-equations computing Hall conductances for generalized Dirac-like Harper operators is derived. Geometrically these equations relate Chern numbers o…

math-ph2012★ 17 cited

Existence of the thermodynamic limit for disordered quantum Coulomb systems

Xavier Blanc, Mathieu Lewin

Following a recent method introduced by C. Hainzl, J.P. Solovej and the second author of this article, we prove the existence of the thermodynamic limit for a system made of quantu…

math-ph2012★ 18 cited

Landauer-Büttiker formula and Schrödinger conjecture

Laurent Bruneau, Vojkan Jaksic, Claude-Alain Pillet

We study the entropy flux in the stationary state of a finite one-dimensional sample S connected at its left and right ends to two infinitely extended reservoirs at distinct temper…