A B-spline Galerkin method for the Dirac equation

DOI10.1016/j.cpc.2008.12.010zbMath1198.81036arXiv0806.3067OpenAlexW2024334164MaRDI QIDQ603292

Oleg Zatsarinny, Charlotte Froese Fischer

Publication date: 6 November 2010

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

Full work available at URL: https://arxiv.org/abs/0806.3067

zbMATH Keywords

Dirac equationB-splinesR-matrixCoulomb wavefunctions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (9)

DBSR\_HF: a B-spline Dirac-Hartree-Fock program ⋮ A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry ⋮ High-order finite element method for atomic structure calculations ⋮ \texttt{Dftatom}: a robust and general Schrödinger and Dirac solver for atomic structure calculations ⋮ Stabilized finite element method for the radial Dirac equation ⋮ 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 ⋮ Finite element method for solving the Dirac eigenvalue problem with linear basis functions

Cites Work

• BSR: B-spline atomic R-matrix codes
• Application of the dual-kinetic-balance sets in the relativistic many-body problem of atomic structure
• A practical guide to splines
• Integration by cell algorithm for Slater integrals in a spline basis

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