On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy (Q2253115)

scientific article

Language	Label	Description	Also known as
English	On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy	scientific article

Statements

instance of

scholarly article

0 references

title

On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy (English)

0 references

0 references

0 references

0 references

Journal of Functional Analysis

0 references

publication date

25 July 2014

0 references

full work available at URL

https://arxiv.org/abs/1212.2987

0 references

zbMATH Keywords

Gross-Pitaevskii hierarchy

0 references

nonlinear Schrödinger equation

0 references

BBGKY hierarchy

0 references

Bose-Einstein condensation

0 references

determinant of a lattice

0 references

\(U\) and \(V\) spaces

0 references

factorized solutions

0 references

multilinear estimates

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Q4654279

0 references

Rigorous derivation of the cubic NLS in dimension one

0 references

Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice

0 references

Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states

0 references

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

0 references

Multilinear embedding estimates for the fractional Laplacian

0 references

Quantitative Derivation of the Gross‐Pitaevskii Equation

0 references

The number of integral points on arcs and ovals

0 references

Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

0 references

Q4255122

0 references

Rate of convergence towards Hartree dynamics

0 references

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

0 references

On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies

0 references

A new proof of existence of solutions for focusing and defocusing Gross-Pitaevskii hierarchies

0 references

Energy conservation and blowup of solutions for focusing Gross-Pitaevskii hierarchies

0 references

Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy

0 references

Classical proofs of Kato type smoothing estimates for the Schrödinger equation with quadratic potential in \(\mathbb R^{n+1}\) with application.

0 references

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

0 references

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

0 references

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

0 references

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

0 references

On the Cauchy problem for Gross–Pitaevskii hierarchies

0 references

Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D

0 references

Nonlinear Hartree equation as the mean field limit of weakly coupled fermions

0 references

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

0 references

Mean field dynamics of boson stars

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

\(H^p\) spaces of several variables

0 references

Mean-field- and classical limit of many-body Schrödinger dynamics for bosons

0 references

Atomism and quantization

0 references

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

0 references

Q5494597

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

A PRIORI ESTIMATES FOR MANY-BODY HAMILTONIAN EVOLUTION OF INTERACTING BOSON SYSTEM

0 references

Structure of a quantized vortex in boson systems

0 references

Erratum to ``Well-posedness and scattering for the KP-II equation in a critical space'' [Ann. I. H. Poincaré - AN 26 (3) (2009) 917-941]

0 references

Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in \(H^1(\mathbb T^3)\)

0 references

Symmetric Measures on Cartesian Products

0 references

Q4893761

0 references

The energy-critical defocusing NLS on \({\mathbb{T}}^{3}\)

0 references

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

0 references

Space‐time estimates for null forms and the local existence theorem

0 references

On the uniqueness of solutions to the Gross-Pitaevskii hierarchy

0 references

Mean-field dynamics: Singular potentials and rate of convergence

0 references

Dispersive estimates for principally normal pseudodifferential operators

0 references

A Priori Bounds for the 1D Cubic NLS in Negative Sobolev Spaces

0 references

Rate of convergence towards semi-relativistic Hartree dynamics

0 references

A lower bound on the ground state energy of dilute Bose gas

0 references

Q5595275

0 references

The mathematics of the Bose gas and its condensation.

0 references

Mean-field quantum dynamics with magnetic fields

0 references

Determinants of Lattices induced by Rational Subspaces

0 references

Dynamical collapse of Boson stars

0 references

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

0 references

A simple derivation of mean field limits for quantum systems

0 references

Quantum fluctuations and rate of convergence towards mean field dynamics

0 references

Minimal Determinants and Lattice Inequalities

0 references

Local existence of solutions to randomized Gross-Pitaevskii hierarchies

0 references

Randomization and the Gross-Pitaevskii hierarchy

0 references

Q5475508

0 references

The second order upper bound for the ground energy of a Bose gas

0 references

The ground state energy of dilute Bose gas in potentials with positive scattering length

0 references

Identifiers

zbMATH Open document ID

1297.35215

0 references

DOI

10.1016/j.jfa.2014.02.006

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2253115