Probabilistic Methods for Discrete Nonlinear Schrödinger Equations

DOI10.1002/cpa.21388zbMath1273.35249arXiv1009.5737OpenAlexW2033549679MaRDI QIDQ5388218

Sourav Chatterjee, Kay Kirkpatrick

Publication date: 18 April 2012

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5737

zbMATH Keywords

probabilistic methoddiscrete Hamiltonianforcusing cubic nonlinear Schrodinger equationinvarinat measure

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of stochastic analysis (to PDEs, etc.) (60H30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (10)

Invariant Measures and the Soliton Resolution Conjecture ⋮ A complexity approach to the soliton resolution conjecture ⋮ A stochastic thermalization of the discrete nonlinear Schrödinger equation ⋮ The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures ⋮ Optimal Control for Stochastic Nonlinear Schrödinger Equation on Graph ⋮ A note about the uniform distribution on the intersection of a simplex and a sphere ⋮ A discrete Schrödinger equation via optimal transport on graphs ⋮ A PDE construction of the Euclidean \(\Phi^4_3\) quantum field theory ⋮ Equivalence of ensembles, condensation and glassy dynamics in the Bose-Hubbard Hamiltonian ⋮ A note on mixed matrix moments for the complex Ginibre ensemble

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