357 citations · 875 across the 60 of their papers we have counts for
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math.NA2012★ 2 cited
Gaussian Beam Methods for the Dirac Equation in the Semi-classical Regime
Hao Wu, Zhongyi Huang, Shi Jin +1
The Dirac equation is an important model in relativistic quantum mechanics. In the semi-classical regime , even a spatially spectrally accurate time splitting method \cite{H…
math.NA2012
A Bloch decomposition based split-step pseudo spectral method for quantum dynamics with periodic potentials
Zhongyi Huang, Shi Jin, Peter Markowich +1
We present a new numerical method for accurate computations of solutions to (linear) one dimensional Schrödinger equations with periodic potentials. This is a prominent model in so…
math.NA2012★ 80 cited
A time-splitting spectral scheme for the Maxwell-Dirac system
Zhongyi Huang, Shi Jin, Peter Markowich +2
We present a time-splitting spectral scheme for the Maxwell-Dirac system and similar time-splitting methods for the corresponding asymptotic problems in the semi-classical and the…