An infinite sequence of conserved quantities for the cubic Gross–Pitaevskii hierarchy on ℝ
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Publication:4633585
DOI10.1090/tran/7726zbMath1416.35243arXiv1612.09236OpenAlexW2963441136MaRDI QIDQ4633585
Gigliola Staffilani, Andrea R. Nahmod, Nataša Pavlović, Dana Mendelson
Publication date: 3 May 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.09236
NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70)
Related Items (6)
Quantitative derivation and scattering of the 3D cubic NLS in the energy space ⋮ The unconditional uniqueness for the energy-supercritical NLS ⋮ Poisson commuting energies for a system of infinitely many bosons ⋮ Bohr's Correspondence Principle for the Renormalized Nelson Model ⋮ The derivation of the \(\mathbb{T}^{3}\) energy-critical NLS from quantum many-body dynamics ⋮ Unconditional uniqueness for the energy-critical nonlinear Schrödinger equation on
Cites Work
- Unnamed Item
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- The Gross-Pitaevskii hierarchy on general rectangular tori
- On the Klainerman-Machedon conjecture for the quantum BBGKY hierarchy with self-interaction
- Pair excitations and the mean field approximation of interacting Bosons. I
- On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti
- Derivation of nonlinear Gibbs measures from many-body quantum mechanics
- Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states
- The mathematics of the Bose gas and its condensation.
- Second-order corrections to mean field evolution of weakly interacting bosons. I
- The quintic NLS as the mean field limit of a boson gas with three-body interactions
- Second-order corrections to mean field evolution of weakly interacting bosons. II
- A simple derivation of mean field limits for quantum systems
- Energy conservation and blowup of solutions for focusing Gross-Pitaevskii hierarchies
- Second-order corrections to mean field evolution for weakly interacting bosons in the case of three-body interactions
- On the mean-field limit of bosons with Coulomb two-body interaction
- Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- Uniqueness of solutions to the 3D quintic Gross-Pitaevskii hierarchy
- A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on \(\mathbb{T}^3\) from the dynamics of many-body quantum systems
- On the uniqueness of solutions to the Gross-Pitaevskii hierarchy
- On the Cauchy problem for focusing and defocusing Gross-Pitaevskii hierarchies
- Derivation of the time dependent Gross-Pitaevskii equation without positivity condition on the interaction
- Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
- Mean field limit for bosons and infinite dimensional phase-space analysis
- Quantum fluctuations and rate of convergence towards mean field dynamics
- The classical field limit of scattering theory for non-relativistic many- boson systems. I
- On an infinite sequence of invariant measures for the cubic nonlinear Schrödinger equation
- On the uniqueness of solutions to the periodic 3D Gross-Pitaevskii hierarchy
- Mean-field- and classical limit of many-body Schrödinger dynamics for bosons
- Gross-Pitaevskii dynamics for Bose-Einstein condensates
- Derivation of Hartree's theory for generic mean-field Bose systems
- Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in \(d=3\) based on spacetime norms
- On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy
- Symmetric states of infinite tensor products of \(C^ *\)-algebras
- The classical mechanics of one-dimensional systems of infinitely many particles. II: Kinetic theory
- Rigorous derivation of the cubic NLS in dimension one
- Higher Order Energy Conservation and Global Well-Posedness of Solutions for Gross-Pitaevskii Hierarchies
- Unconditional Uniqueness of the cubic Gross--Pitaevskii Hierarchy with Low Regularity
- Unconditional Uniqueness for the Cubic Gross-Pitaevskii Hierarchy via Quantum de Finetti
- Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential
- Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics
- Symmetric Measures on Cartesian Products
- Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate
- A PRIORI ESTIMATES FOR MANY-BODY HAMILTONIAN EVOLUTION OF INTERACTING BOSON SYSTEM
- Locally normal symmetric states and an analogue of de Finetti's theorem
- Time evolution of large classical systems
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Derivation of Effective Evolution Equations from Microscopic Quantum Dynamics
- Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice
- Quadratic Morawetz inequalities and asymptotic completeness in the energy space for nonlinear Schrödinger and Hartree equations
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