Homogenization limit for a multiband effective mass model in heterostructures

DOI10.1063/1.4878119zbMath1296.82062OpenAlexW1980284825MaRDI QIDQ5171389

Omar Morandi

Publication date: 26 July 2014

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

Full work available at URL: https://doi.org/10.1063/1.4878119

zbMATH Keywords

quasi-periodic crystal

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum transport in crystals: Effective mass theorem and k\(\cdot\)p Hamiltonians
• Approximation of semi-groups of operators
• Semigroups of linear operators and applications to partial differential equations
• A mathematical approach to the effective Hamiltonian in perturbed periodic problems
• Effective dynamics for Bloch electrons: Peierls substitution and beyond
• A non parabolic hydrodynamical subband model for semiconductors based on the maximum entropy principle
• Homogenization of the Schrödinger equation and effective mass theorems
• Homogenization limits and Wigner transforms
• Semi-classical limits in a crystal with exterior potentials and effective mass theorems.
• Motion in periodic potentials
• Semiclassical limit for the Schrödinger‐Poisson equation in a crystal
• Effective classical Liouville-like evolution equation for the quantum phase-space dynamics
• Motion of Electrons and Holes in Perturbed Periodic Fields

This page was built for publication: Homogenization limit for a multiband effective mass model in heterostructures