Gibbs Measures of Nonlinear Schrödinger Equations as Limits of Quantum Many-Body States in Dimension d ≤ 3
DOI10.1007/978-3-030-56409-4_9zbMath1483.81065OpenAlexW2403578360MaRDI QIDQ3384291
Publication date: 15 December 2021
Published in: Frontiers in Analysis and Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-56409-4_9
Measures of association (correlation, canonical correlation, etc.) (62H20) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical thermodynamics (82B30)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation
- Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
- Gibbs measure evolution in radial nonlinear wave and Schrödinger equations on the ball
- Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball I: the 2D case
- Derivation of nonlinear Gibbs measures from many-body quantum mechanics
- Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons
- Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
- Invariant measures for the defocusing nonlinear Schrödinger equation
- The classical field limit of scattering theory for non-relativistic many- boson systems. II
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Periodic nonlinear Schrödinger equation and invariant measures
- Invariant measures for the Gross-Pitaevskii equation
- Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\)
- Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- On invariant Gibbs measures conditioned on mass and momentum
- Two-dimensional nonlinear Schrödinger equation with random radial data
- Statistical mechanics of the nonlinear Schrödinger equation.
- Invariant measures for NLS in infinite volume
- Classical field theory limit of many-body quantum Gibbs states in 2D and 3D
- A microscopic derivation of time-dependent correlation functions of the \(1D\) cubic nonlinear Schrödinger equation
- Invariant measure for the Schrödinger equation on the real line
- Absolute continuity of Brownian bridges under certain gauge transformations
- Invariant measures for the nonlinear Schrödinger equation on the disc
- Almost sure global well-posedness for the radial nonlinear Schrödinger equation on the unit ball. II: the 3D case
- Long time dynamics for the one dimensional non linear Schrödinger equation
- Gibbs measure for the periodic derivative nonlinear Schrödinger equation
- Gibbs Measures of Nonlinear Schrödinger Equations as Limits of Quantum Many-Body States in Dimension d ≤ 3
- An improvement of Watson’s theorem on Borel summability
- Gibbs measures based on 1d (an)harmonic oscillators as mean-field limits
This page was built for publication: Gibbs Measures of Nonlinear Schrödinger Equations as Limits of Quantum Many-Body States in Dimension d ≤ 3