A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in \((1+1)\)D
type: Item
instance of: scholarly article
title: A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in \((1+1)\)D
zbMATH Open document ID: 1349.81085
author: René Hammer
author: Walter Pötz
author: Anton Arnold
published in: Journal of Computational Physics
publication date: 2016-12-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1302.5587
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 6659949
zbMATH Keywords: Dirac equation
zbMATH Keywords: finite difference
zbMATH Keywords: leap-frog
zbMATH Keywords: fermion doubling
MaRDI profile type: Publication
OpenAlex ID: W2015593049
arXiv ID: 1302.5587
cites work: Q4490772
cites work: Q4331959
cites work: Optical lattice quantum simulator for quantum electrodynamics in strong external fields: spontaneous pair creation and the Sauter–Schwinger effect
cites work: Q4348460
cites work: Q4651460
cites work: Quantum dynamics of relativistic electrons
cites work: Numerical solution of the time-dependent Dirac equation in coordinate space without fermion-doubling
cites work: Numerical methods for nonlinear Dirac equation
cites work: The numerical study of a nonlinear one-dimensional Dirac equation
cites work: Linearized Crank-Nicolson scheme for nonlinear Dirac equations
cites work: Nonsymmetric Difference Equations
cites work: Split-step spectral schemes for nonlinear Dirac systems
cites work: Q4818724
cites work: Multi-symplectic Runge-Kutta methods for nonlinear Dirac equations
cites work: Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model
cites work: An efficient adaptive mesh redistribution method for a nonlinear Dirac equation
cites work: Implementation of transparent boundaries for numerical solution of the Schröder equation.
cites work: Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability
cites work: Scattering theory for mesoscopic quantum systems with non-trivial spatial asymptotics in one dimension
cites work: Discrete transparent boundary conditions for transient kp‐Schrödinger equations with application to quantum heterostructures
cites work: Weak Ill-Posedness of Spatial Discretizations of Absorbing Boundary Conditions for Schrödinger-Type Equations
cites work: Fast Convolution for Nonreflecting Boundary Conditions
cites work: Discretely nonreflecting boundary conditions for linear hyperbolic systems
cites work: Q5268541
cites work: Geometric numerical integration illustrated by the Störmer–Verlet method
cites work: Analysis of a leap-frog pseudospectral scheme for the Schrödinger equation
cites work: MATHEMATICAL CONCEPTS OF OPEN QUANTUM BOUNDARY CONDITIONS
cites work: Staggered grid leap-frog scheme for the \((2+1)D\) Dirac equation
cites work: Discrete transparent boundary conditions for the Schrödinger equation
cites work: Q4751885
cites work: Q4256628
DOI: 10.1016/J.JCP.2013.09.022
description: scientific article; zbMATH DE number 6659949