Gaussian beam methods for the Dirac equation in the semi-classical regime
Gaussian beam methods for the Dirac equation in the semi-classical regime
The Dirac equation is an important model in relativistic quantum mechanics.In the semi-classical regime ε ≪ 1, even a spatially spectrally accurate time splitting method [6] requires the mesh size to be O(ε), which makes the direct simulation extremely expensive.In this paper, we present the Gaussian beam method for the …