A fourth-order compact time-splitting Fourier pseudospectral method for the Dirac equation
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Publication:2319865
DOI10.1007/s40687-018-0173-xzbMath1433.65234arXiv1711.07193OpenAlexW2964168952WikidataQ128749827 ScholiaQ128749827MaRDI QIDQ2319865
Publication date: 20 August 2019
Published in: Research in the Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.07193
Dirac equationnonrelativistic limit regimedouble commutatorfourth-order compact time-splittingprobability conservationsemiclassical limit regime
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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