A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry
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Publication:349374
DOI10.1016/j.jcp.2014.03.068zbMath1349.65292arXiv1303.3781OpenAlexW2110498046MaRDI QIDQ349374
Emmanuel Lorin, André D. Bandrauk, François Fillion-Gourdeau
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/1303.3781
Related Items (14)
Stationary state computation for nonlinear Dirac operators ⋮ Landau levels for discrete-time quantum walks in artificial magnetic fields ⋮ Spatial resolution of different discretizations over long-time for the Dirac equation with small potentials ⋮ Krylov subspace methods for the Dirac equation ⋮ Absorbing boundary conditions for relativistic quantum mechanics equations ⋮ A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with structure-preservation for long-time dynamics of the Dirac equation with small potentials ⋮ Explicit and structure-preserving exponential wave integrator Fourier pseudo-spectral methods for the Dirac equation in the simultaneously massless and nonrelativistic regime ⋮ A simple pseudospectral method for the computation of the time-dependent Dirac equation with perfectly matched layers ⋮ Computational performance of simple and efficient sequential and parallel Dirac equation solvers ⋮ Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime ⋮ Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis ⋮ Frozen Gaussian Approximation for the Dirac Equation in Semiclassical Regime ⋮ Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces ⋮ Error estimates of finite difference methods for the Dirac equation in the massless and nonrelativistic regime
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