Krylov subspace methods for the Dirac equation

DOI10.1016/j.cpc.2014.11.008zbMath1344.81009arXiv1407.7370OpenAlexW1970337650MaRDI QIDQ310844

Randolf Beerwerth, Heiko Bauke

Publication date: 8 September 2016

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

Full work available at URL: https://arxiv.org/abs/1407.7370

zbMATH Keywords

Dirac equationKrylov subspace methodsLanczos algorithm

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08) Software, source code, etc. for problems pertaining to quantum theory (81-04) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Optimized spatial matrix representations of quantum Hamiltonians ⋮ Numerical solutions of the time‐dependent Schrödinger equation with position‐dependent effective mass ⋮ 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 ⋮ Galerkin method for unsplit 3-D Dirac equation using atomically/kinetically balanced B-spline basis ⋮ Dirac_Laczos ⋮ Pseudospectral computational methods for the time-dependent Dirac equation in static curved spaces ⋮ EXACT SOLUTIONS FOR A DIRAC-TYPE EQUATION WITH N-FOLD DARBOUX TRANSFORMATION

Uses Software

• ALTDSE
• LAPACK
• CUDA
• Boost
• Dirac++

Cites Work

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