Dynamics of the infinite discrete nonlinear Schrödinger equation

DOI10.1007/s10955-024-03374-wMaRDI QIDQ6660988

Aleksis Vuoksenmaa

Publication date: 10 January 2025

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

invariant measuresnonlinear Schrödinger equationdiscrete nonlinear Schrödinger equation

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

• Dynamics of infinite classical anharmonic crystals
• Weakly nonlinear Schrödinger equation with random initial data
• Statistical mechanics of the 2-dimensional focusing nonlinear Schrödinger equation
• Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems
• Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
• On the continuum limit for discrete NLS with long-range lattice interactions
• Statistical mechanics of the nonlinear Schrödinger equation.
• Invariant measures for NLS in infinite volume
• The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures
• On the propagation of a perturbation in an anharmonic system
• Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics
• Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit
• Probabilistic Methods for Discrete Nonlinear Schrödinger Equations

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