Staggered grid leap-frog scheme for the \((2+1)D\) Dirac equation

DOI10.1016/j.cpc.2013.08.013zbMath1344.65080arXiv1306.5895OpenAlexW2070624059MaRDI QIDQ313844

René Hammer, Walter Pötz

Publication date: 12 September 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5895

zbMATH Keywords

Dirac equationfinite differencestaggered gridabsorbing boundary conditionstopological insulator

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (9)

A fourth-order compact time-splitting method for the Dirac equation with time-dependent potentials ⋮ Krylov subspace methods for the Dirac equation ⋮ Optimized spatial matrix representations of quantum Hamiltonians ⋮ A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in \((1+1)\)D ⋮ Single-cone real-space finite difference scheme for the time-dependent Dirac equation ⋮ A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry ⋮ Absorbing boundary conditions for relativistic quantum mechanics equations ⋮ Single-cone finite difference scheme for the \((2+1)\)D Dirac von Neumann equation ⋮ A conservative fourth-order real space method for the (2+1)D Dirac equation

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