Analysis of models for quantum transport of electrons in graphene layers
type: Item
instance of: scholarly article
title: Analysis of models for quantum transport of electrons in graphene layers
zbMATH Open document ID: 1300.35112
DOI: 10.1142/S0218202514500213
author: Raymond El Hajj
author: Florian Méhats
publication date: 2014-09-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/1308.1219
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 6349055
zbMATH Keywords: quantum transport
zbMATH Keywords: Strichartz estimates
zbMATH Keywords: mixed quantum states
zbMATH Keywords: Dirac-Hartree system
zbMATH Keywords: graphene
zbMATH Keywords: Hardy inequality
MaRDI profile type: Publication
arXiv ID: 1308.1219
cites work: Quantum transport. Modelling, analysis and asymptotics -- lectures given at the C.I.M.E. summer school held in Cetraro, Italy, September 11--16, 2006
cites work: Self-consistent relaxation-time models in quantum mechanics
cites work: Fourier Analysis and Nonlinear Partial Differential Equations
cites work: Adiabatic Approximation of the Schrödinger--Poisson System with a Partial Confinement
cites work: A variational method using fractional order Hilbert spaces for tomographic reconstruction of blurred and noised binary images
cites work: The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation
cites work: Positive solutions of nonlinear problems involving the square root of the Laplacian
cites work: L2 Solutions to the Schrödinger–Poisson System: Existence, Uniqueness, Time Behaviour, and Smoothing Effects
cites work: An effective mass theorem for the bidimensional electron gas in a strong magnetic field
cites work: A Semilinear Dirac Equation inHs(R3) fors> 1
cites work: Stationary states of the nonlinear Dirac equation: A variational approach
cites work: Generalized Strichartz inequalities for the wave equation
cites work: Caractérisation de quelques espaces d'interpolation
cites work: Ground state properties of graphene in Hartree-Fock theory
cites work: Eigenvalue inequalities for Klein-Gordon operators
cites work: Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner–Poisson and Schrödinger‐Poisson systems
cites work: Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation.
cites work: Scattering theory for the Dirac equation with a non-local term
cites work: Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients
cites work: The Band Theory of Graphite
published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences
description: scientific article; zbMATH DE number 6349055