output
20022015
most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations

Showing 2007Show all

33 papers · 1 filter

cond-mat.mtrl-sci2007

Critical behavior of magnetic thin films as a function of thickness

X. T. Pham Phu, V. Thanh Ngo, H. T. Diep

We study the critical behavior of magnetic thin films as a function of the film thickness. We use the ferromagnetic Ising model with the high-resolution multiple histogram Monte Ca…

math-ph200740 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.AP200712 cited

Scattering for H^1/2 bounded solutions to the cubic, defocusing NLS in 3 dimensions

Carlos E. Kenig, Frank Merle

We show that if a solution of the defocusing cubic NLS in 3d remains bounded in the homogeneous Sobolev norm of order 1/2 in its maximal interval of existence, then the interval is…

hep-th200719 cited

Isomorphism of critical and off-critical operator spaces in two-dimensional quantum field theory

G. Delfino, G. Niccoli

For the simplest quantum field theory originating from a non-trivial fixed point of the renormalization group, the Lee-Yang model, we show that the operator space determined by the…

quant-ph20075 cited

Fully frustrated Josephson junction ladders with Mobius boundary conditions as topologically protected qubits

Gerardo Cristofano, Vincenzo Marotta, Adele Naddeo +1

We show how to realize a ``protected'' qubit by using a fully frustrated Josephson Junction ladder (JJL) with Mobius boundary conditions. Such a system has been recently studied wi…

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.…