Gross-Pitaevskii dynamics for Bose-Einstein condensates (Q2418007)

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English	Gross-Pitaevskii dynamics for Bose-Einstein condensates	scientific article

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scholarly article

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Gross-Pitaevskii dynamics for Bose-Einstein condensates (English)

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Christian Brennecke

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Benjamin Schlein

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Analysis \& PDE

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publication date

31 May 2019

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full work available at URL

https://arxiv.org/abs/1702.05625

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zbMATH Keywords

Bose-Einstein condensates

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quantum dynamics

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Gross-Pitaevskii equation

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MaRDI profile type

MaRDI publication profile

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Rigorous derivation of the cubic NLS in dimension one

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Mean field limit for bosons and propagation of Wigner measures

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On the rate of convergence for the mean field approximation of bosonic many-body quantum dynamics

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A simple proof of convergence to the Hartree dynamics in Sobolev trace norms

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Weak coupling limit of the \(N\)-particle Schrödinger equation

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A central limit theorem in many-body quantum dynamics

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Quantitative Derivation of the Gross‐Pitaevskii Equation

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Quantum many-body fluctuations around nonlinear Schrödinger dynamics

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Complete Bose-Einstein condensation in the Gross-Pitaevskii regime

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Second-order corrections to mean field evolution for weakly interacting bosons in the case of three-body interactions

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Correlation Structures, Many-Body Scattering Processes, and the Derivation of the Gross–Pitaevskii Hierarchy

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Focusing quantum many-body dynamics. II: The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D

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Unconditional Uniqueness for the Cubic Gross-Pitaevskii Hierarchy via Quantum de Finetti

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Mean field dynamics of boson stars

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Derivation of the nonlinear Schrödinger equation from a many body Coulomb system

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Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate

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Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems

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Dynamical formation of correlations in a Bose-Einstein condensate

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Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential

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Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate

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Atomism and quantization

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On the mean-field limit of bosons with Coulomb two-body interaction

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A spectral method for Schrödinger equations with smooth confinement potentials

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The classical field limit of scattering theory for non-relativistic many- boson systems. I

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The classical field limit of scattering theory for non-relativistic many- boson systems. II

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The excitation spectrum for weakly interacting Bosons in a trap

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Pair excitations and the mean field approximation of interacting Bosons. I

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Second-order corrections to mean field evolution of weakly interacting bosons. I

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Second-order corrections to mean field evolution of weakly interacting bosons. II

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Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics

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On the uniqueness of solutions to the Gross-Pitaevskii hierarchy

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Mean-field dynamics: Singular potentials and rate of convergence

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Exact evolution versus mean field with second-order correction for bosons interacting via short-range two-body potential.

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Fluctuations around Hartree states in the mean-field regime

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Bogoliubov Spectrum of Interacting Bose Gases

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Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates

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Bogoliubov correction to the mean-field dynamics of interacting bosons

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Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited

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Advances in quantum mechanics. Contemporary trends and open problems

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Derivation of the time dependent Gross–Pitaevskii equation with external fields

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Quantum fluctuations and rate of convergence towards mean field dynamics

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The excitation spectrum for weakly interacting bosons

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.2140/APDE.2019.12.1513

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Sitelinks

Mathematics(1 entry)

mardi Publication:2418007

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