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Norm approximation for many-body quantum dynamics: Focusing case in low dimensions - MaRDI portal

Norm approximation for many-body quantum dynamics: Focusing case in low dimensions (Q2421256)

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Language	Label	Description	Also known as
English	Norm approximation for many-body quantum dynamics: Focusing case in low dimensions	scientific article

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scholarly article

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Norm approximation for many-body quantum dynamics: Focusing case in low dimensions (English)

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Phan Thành Nam

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Marcin Napiórkowski

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Advances in Mathematics

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publication date

14 June 2019

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full work available at URL

https://arxiv.org/abs/1710.09684

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zbMATH Keywords

quantum dynamics

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focusing NLS

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norm approximation

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Bogoliubov approximation

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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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Quantum many-body fluctuations around nonlinear Schrödinger dynamics

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Nonlinear Schrödinger evolution equations

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A note on limiting cases of sobolev embeddings and convolution inequalities

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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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Focusing quantum many-body dynamics: the rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation

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

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

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Erratum to: ``Excitation spectrum of interacting bosons in the mean-field infinite-volume limit''

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

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

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The excitation spectrum for weakly interacting Bosons in a trap

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

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

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Pair excitations and the mean field approximation of interacting Bosons, II

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On the mass concentration for Bose-Einstein condensates with attractive interactions

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Derivation of the time dependent two dimensional focusing NLS equation

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

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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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The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases

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A note on 2D focusing many-boson systems

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On the Symmetry of the Ground States of Nonlinear Schrödinger Equation with Potential

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Bogoliubov corrections and trace norm convergence for the Hartree dynamics

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Bogoliubov correction to the mean-field dynamics of interacting bosons

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A note on the validity of Bogoliubov correction to mean-field dynamics

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Collective excitations of Bose gases in the mean-field regime

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Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations

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Derivation of the time dependent Gross-Pitaevskii equation without positivity condition on the interaction

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The excitation spectrum for weakly interacting bosons

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Nonlinear Schrödinger equations and sharp interpolation estimates

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Stability of attractive Bose-Einstein condensates

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Identifiers

zbMATH Open document ID

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10.1016/j.aim.2019.04.066

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2421256

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