Analysis of models for quantum transport of electrons in graphene layers

DOI10.1142/S0218202514500213zbMath1300.35112arXiv1308.1219MaRDI QIDQ2920914

Florian Méhats, Raymond El Hajj

Publication date: 29 September 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1219

zbMATH Keywords

Hardy inequalityStrichartz estimatesquantum transportgraphenemixed quantum statesDirac-Hartree system

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Transport processes in time-dependent statistical mechanics (82C70) Applications of functional analysis in quantum physics (46N50) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle ⋮ Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions ⋮ Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian ⋮ Multiple solutions for a self-consistent Dirac equation in two dimensions ⋮ Wulff shape emergence in graphene ⋮ Refined eigenvalue bounds on the Dirichlet fractional Laplacian ⋮ Rigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structures

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