Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Atomism and quantization - MaRDI portal

Atomism and quantization

From MaRDI portal
Publication:3431657

DOI10.1088/1751-8113/40/12/S09zbMath1115.81071MaRDI QIDQ3431657

Jürg Fröhlich, Antti Knowles, Alessandro Pizzo

Publication date: 12 April 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)




Related Items (42)

Mean field dynamics of a quantum tracer particle interacting with a boson gasOn the mean-field limit of bosons with Coulomb two-body interactionPoisson commuting energies for a system of infinitely many bosonsHigher Order Energy Conservation and Global Well-Posedness of Solutions for Gross-Pitaevskii HierarchiesDerivation in Strong Topology and Global Well-Posedness of Solutions to the Gross-Pitaevskii HierarchyLarge deviation estimates for weakly interacting bosonsUnconditional Uniqueness for the Cubic Gross-Pitaevskii Hierarchy via Quantum de FinettiGross-Pitaevskii dynamics for Bose-Einstein condensatesGibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\)On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de FinettiA rigorous derivation of the Hamiltonian structure for the Vlasov equationA rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on \(\mathbb{T}^3\) from the dynamics of many-body quantum systemsOn well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree typeKinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interactionCentral limit theorem for Bose gases interacting through singular potentialsThe quintic NLS as the mean field limit of a boson gas with three-body interactionsDynamical collapse of Boson starsOn the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensateVortex lattice solutions of the ZHK Chern–Simons equationsDerivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in \(d=3\) based on spacetime normsRate of convergence towards the Hartree-von Neumann limit in the mean-field regimeVortex lattices and the Bogoliubov-de Gennes equationsRandomization and the Gross-Pitaevskii hierarchyA new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchiesSemi-classical dynamics in quantum spin systemsOn the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchyMean field propagation of Wigner measures and BBGKY hierarchies for general bosonic statesEnergy conservation and blowup of solutions for focusing Gross-Pitaevskii hierarchiesLocal existence of solutions to randomized Gross-Pitaevskii hierarchiesScaling limits of bosonic ground states, from many-body to non-linear SchrödingerSemiclassical approximation and critical temperature shift for weakly interacting trapped bosonsA large deviation principle in many-body quantum dynamicsQuantum dynamics with mean field interactions: a new approachNot to normal order-notes on the kinetic limit for weakly interacting quantum fluidsA rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equationA remark on the mean-field dynamics of many-body bosonic systems with random interactions and in a random potentialFluctuations of \(N\)-particle quantum dynamics around the nonlinear Schrödinger equationMean field limit for bosons and propagation of Wigner measuresMean-Field Evolution of Fermionic Mixed StatesA microscopic derivation of time-dependent correlation functions of the \(1D\) cubic nonlinear Schrödinger equationConvergence rate towards the fractional Hartree equation with singular potentials in higher Sobolev trace normsDifferential equations of quantum mechanics




This page was built for publication: Atomism and quantization