On a multidimensional Schrödinger–Poisson scattering model for semiconductors

DOI10.1063/1.533397zbMath0977.82052OpenAlexW1989006113MaRDI QIDQ2738036

Naoufel Ben Abdallah

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533397

zbMATH Keywords

charge densitycurrent-voltage characteristicssemiconductor device modelingstationary Schrödinger-Poisson problem

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37)

Related Items (14)

A QUANTUM TRANSMITTING SCHRÖDINGER–POISSON SYSTEM ⋮ An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes ⋮ Adiabatic approximation of the Schrödinger–Poisson system with a partial confinement: The stationary case ⋮ ADIABATIC EVOLUTION OF 1D SHAPE RESONANCES: AN ARTIFICIAL INTERFACE CONDITIONS APPROACH ⋮ A splitting Chebyshev collocation method for Schrödinger-Poisson system ⋮ Numerical analysis of a multiscale finite element scheme for the resolution of the stationary Schrödinger equation ⋮ Multiscale simulation of transport in an open quantum system: Resonances and WKB interpolation ⋮ Quantum energy-transport and drift-diffusion models ⋮ Hybrid fluid-quantum coupling for the simulation of the transport of partially quantized particles in a DG-MOSFET ⋮ An accelerated algorithm for 2D simulations of the quantum ballistic transport in nanoscale MOSFETs ⋮ Absorbing layers for the Dirac equation ⋮ ON AN OPEN TRANSIENT SCHRÖDINGER–POISSON SYSTEM ⋮ Kinetic and Hydrodynamic Models for Multi-Band Quantum Transport in Crystals ⋮ A mathematical model for the transient evolution of a resonant tunneling diode

Cites Work

• Spectral analysis of the Laplacian in domains with cylinders
• On Wigner measures
• On a one-dimensional Schrödinger-Poisson scattering model
• Finite element approximation of electrostatic potential in one dimensional multilayer structures with quantized electronic charge
• A variational formulation of schrödinger-poisson systems in dimension d ≤ 3
• A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices
• Boundary value problems for the stationary Vlasov-Maxwell system
• A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential
• The quantum Child-Langmuir problem
• On the Quantum Correction For Thermodynamic Equilibrium

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