Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS equation in R3 (Q4987879)

scientific article; zbMATH DE number 7343811

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English	Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS equation in R3	scientific article; zbMATH DE number 7343811

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title

Dynamics of large boson systems with attractive interaction and a derivation of the cubic focusing NLS equation in R3 (English)

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zbMATH Open document ID

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Journal of Mathematical Physics

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publication date

4 May 2021

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/1.5099113

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OpenAlex ID

W3152872658

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cites work

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Quantum many-body fluctuations around nonlinear Schrödinger dynamics

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Gross-Pitaevskii dynamics for Bose-Einstein condensates

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The quintic NLS as the mean field limit of a boson gas with three-body interactions

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Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in \(d=3\) based on spacetime norms

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Collapsing estimates and the rigorous derivation of the 2d cubic nonlinear Schrödinger equation with anisotropic switchable quadratic traps

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On the rigorous derivation of the 3D cubic nonlinear Schrödinger equation with a quadratic trap

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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: the rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation

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On the Klainerman-Machedon conjecture for the quantum BBGKY hierarchy with self-interaction

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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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The Rigorous Derivation of the 2D Cubic Focusing NLS from Quantum Many-Body Evolution

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Introduction

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A new proof of scattering below the ground state for the non-radial focusing NLS

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Scattering for the nonradial 3D cubic nonlinear Schrödinger equation

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Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons

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

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

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

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Derivation of the time dependent two dimensional focusing NLS equation

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