Perfectly matched layers versus discrete transparent boundary conditions in quantum device simulations
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Publication:349409
DOI10.1016/j.jcp.2014.06.049zbMath1349.81033arXiv1312.1565OpenAlexW2096162636MaRDI QIDQ349409
Ansgar Jüngel, Jan-Frederik Mennemann
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.1565
Schrödinger equationAharonov-Bohm effectquantum waveguidesdiscrete transparent boundary conditionsperfectly matched layerstransient simulations
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum measurement theory, state operations, state preparations (81P15)
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Almost exact boundary conditions for transient Schrödinger-Poisson system, An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation, Perfectly matched layers for Schrödinger-type equations with nontrivial energy-momentum dispersion, Nonuniform and higher-order FDTD methods for the Schrödinger equation, Cross‐impact of beam local wavenumbers on the efficiency of self‐adaptive artificial boundary conditions for two‐dimensional nonlinear Schrödinger equation, Transparent boundary conditions for higher-order finite-difference schemes of the Schrödinger equation in (1+1)D, A reflectionless discrete perfectly matched layer, Transparent boundary conditions for the Bogoliubov-de Gennes equation in \((1+1)\)D
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Cites Work
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- Perfectly matched absorbing layers for the paraxial equations
- A perfectly matched layer for the Helmholtz equation in a semi-infinite strip
- An optimal perfectly matched layer with unbounded absorbing function for time-harmonic acoustic scattering problems
- Transparent boundary conditions for quantum-waveguide simulations
- Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential
- Absorbing PML boundary layers for wave-like equations
- A perfectly matched layer for the absorption of electromagnetic waves
- On a one-dimensional Schrödinger-Poisson scattering model
- Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation.
- Discrete transparent boundary conditions for the numerical solution of Fresnel's equation
- Numerical stability of explicit Runge-Kutta finite-difference schemes for the nonlinear Schrödinger equation
- 3D quantum transport solver based on the perfectly matched layer and spectral element methods for the simulation of semiconductor nanodevices
- A perfectly matched layer approach to the nonlinear Schrödinger wave equations
- Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
- Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains
- MATHEMATICAL CONCEPTS OF OPEN QUANTUM BOUNDARY CONDITIONS
- Significance of Electromagnetic Potentials in the Quantum Theory
- Absorbing Boundary Conditions for Solving N-Dimensional Stationary Schrödinger Equations with Unbounded Potentials and Nonlinearities
- Fast Convolution for Nonreflecting Boundary Conditions
- Discrete transparent boundary conditions for transient kp‐Schrödinger equations with application to quantum heterostructures
