A real space split operator method for the Klein-Gordon equation

DOI10.1016/j.jcp.2009.09.012zbMath1176.81039OpenAlexW3111316391MaRDI QIDQ1037763

Christoph H. Keitel, Matthias Ruf, Heiko Bauke

Publication date: 16 November 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.09.012

zbMATH Keywords

Klein-Gordon equationnumerical simulationsplit operator method

Mathematics Subject Classification ID

Related Items (8)

Landau levels of scalar QED in time-dependent magnetic fields ⋮ Krylov subspace methods for the Dirac equation ⋮ Split-operator technique for propagating phase space functions: exploring chaotic, dissipative and relativistic dynamics ⋮ Solution of relativistic quantum optics problems using clusters of graphical processing units ⋮ Absorbing boundary conditions for relativistic quantum mechanics equations ⋮ A stability analysis of a real space split operator method for the Klein-Gordon equation ⋮ Accelerating the Fourier split operator method via graphics processing units ⋮ Bound state calculation of two-component Klein-Gordon equation with damped-relaxation technique

Uses Software

• MPI
• Dirac++

Cites Work

• FFT-split-operator code for solving the Dirac equation in \(2+1\) dimensions
• Perturbation theory for the two-particle Schrödinger operator on a one-dimensional lattice
• Solution of the Schrödinger equation by a spectral method
• Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation
• Excitation and ionization of molecules by a single-mode laser field using a time-dependent approach
• Quantum dynamics of relativistic electrons
• Cluster Computing
• PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
• Elementary Relativistic Wave Mechanics of Spin 0 and Spin 1/2 Particles
• KLEIN TUNNELLING AND THE KLEIN PARADOX
• Pseudounitary operators and pseudounitary quantum dynamics
• Symbolic calculation in development of algorithms: split-step methods for the Gross–Pitaevskii equation
• Unnamed Item

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