Homogenization of Schrödinger equations. Extended effective mass theorems for non-crystalline matter

DOI10.1016/j.matpur.2023.10.002zbMath1529.35021arXiv2101.11338OpenAlexW3124282796MaRDI QIDQ6139818

Wladimir Neves, Vernny Ccajma, Jean Silva

Publication date: 19 December 2023

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11338

zbMATH Keywords

initial value problemhomogenization theorystochastic Schrödinger equationsextended effective mass theorems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization in optics and electromagnetic theory (78M40) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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• Homogenization of a generalized Stefan problem in the context of ergodic algebras
• Quantum transport in crystals: Effective mass theorem and k\(\cdot\)p Hamiltonians
• Multiscale Young measures in almost periodic homogenization and applications
• A variant of stochastic homogenization theory for elliptic operators.
• Theory of Bloch waves
• Homogenization of Liouville equations beyond a stationary ergodic setting
• Wigner measures and effective mass theorems
• Stochastic homogenization and random lattices
• Homogenization of the Schrödinger equation with a time oscillating potential
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Homogenization of the Schrödinger equation and effective mass theorems
• MATHEMATICAL MODELING OF POINT DEFECTS IN MATERIALS SCIENCE
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• The two-scale convergence method applied to generalized Besicovitch spaces

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