A Microscopic Derivation of Gibbs Measures for Nonlinear Schrödinger Equations with Unbounded Interaction Potentials

DOI10.1093/IMRN/RNAB132zbMath1501.35379arXiv1904.08137OpenAlexW3168792903MaRDI QIDQ5043815

Vedran Sohinger

Publication date: 6 October 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.08137

zbMATH Keywords

nonlinear Schrödinger equationsGibbs measures

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) PDEs with measure (35R06)

Related Items (3)

Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs ⋮ A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation ⋮ A microscopic derivation of time-dependent correlation functions of the \(1D\) cubic nonlinear Schrödinger equation

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