Time-dependent simulations of quantum waveguides using a time-splitting spectral method
type: Item
instance of: scholarly article
title: Time-dependent simulations of quantum waveguides using a time-splitting spectral method
zbMATH Open document ID: 1205.81091
author: Ansgar Jüngel
author: Jan-Frederik Mennemann
published in: Mathematics and Computers in Simulation
publication date: 2011-01-31T00:00:00Z
Mathematics Subject Classification ID: 81Q37
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 37N20
Mathematics Subject Classification ID: 81T80
Mathematics Subject Classification ID: 82D77
zbMATH DE Number: 5843151
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: absorbing boundary conditions
zbMATH Keywords: quantum transistor
zbMATH Keywords: three-dimensional dynamical simulations
describes a project that uses: PovRay
describes a project that uses: FFTW
MaRDI profile type: Publication
full work available at URL: j.matcom.2010.09.013
OpenAlex ID: W2162723970
cites work: Q5268541
cites work: MATHEMATICAL CONCEPTS OF OPEN QUANTUM BOUNDARY CONDITIONS
cites work: Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
cites work: Transparent boundary conditions for quantum-waveguide simulations
cites work: On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
cites work: A perfectly matched layer for the absorption of electromagnetic waves
cites work: 3D quantum transport solver based on the perfectly matched layer and spectral element methods for the simulation of semiconductor nanodevices
cites work: Discrete transparent boundary conditions for the Schrödinger equation
cites work: Numerical solutions of Schrödinger equations in ℝ3
cites work: Error bounds for exponential operator splittings
cites work: On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
cites work: Fast Convolution for Nonreflecting Boundary Conditions
cites work: Pseudo-spectral solution of nonlinear Schrödinger equations
cites work: Subband decomposition approach for the simulation of quantum electron transport in nanostructures
cites work: Discrete transparent boundary conditions for the numerical solution of Fresnel's equation
cites work: Three-dimensional quantum simulation of multigate nanowire field effect transistors
cites work: Open boundaries for the nonlinear Schrödinger equation
cites work: A perfectly matched layer approach to the nonlinear Schrödinger wave equations
DOI: 10.1016/J.MATCOM.2010.09.013
description: scientific article; zbMATH DE number 5843151