Effective Mass Theorems for Nonlinear Schrödinger Equations

DOI10.1137/050623759zbMath1099.35136arXivmath-ph/0410017OpenAlexW2593862255MaRDI QIDQ5470292

Christof Sparber

Publication date: 30 May 2006

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0410017

zbMATH Keywords

Bloch wavesBose-Einstein condensateoptical latticeshomogenization limit

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (13)

Classical limit for the varying-mass Schrödinger equation with random inhomogeneities ⋮ Effective wave factorization for a stochastic Schrödinger equation ⋮ The Conservative Splitting High-Order Compact Finite Difference Scheme for Two-Dimensional Schrödinger Equations ⋮ Effective mass theorems with Bloch modes crossings ⋮ Unified Orbital Description of the Envelope Dynamics in Two-Dimensional Simple Periodic Lattices ⋮ Mathematical aspects of the Kubo formula for electrical conductivity with dissipation ⋮ Effective masses for Laplacians on periodic graphs ⋮ Wavepackets in inhomogeneous periodic media: Effective particle-field dynamics and Berry curvature ⋮ Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential ⋮ Bloch Waves in Bubbly Crystal Near the First Band Gap: A High-Frequency Homogenization Approach ⋮ AN EFFECTIVE MASS MODEL FOR THE SIMULATION OF ULTRA-SCALED CONFINED DEVICES ⋮ An effective mass theorem for the bidimensional electron gas in a strong magnetic field ⋮ Low regularity justification results for envelope approximations of nonlinear wave packets in periodic media

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