二维电磁场狄拉克方程的高斯光束

V.V. Kuydin, M. Perel
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引用次数: 3

摘要

构造了具有非均匀电场和磁场的二维狄拉克方程的高斯光束。高斯光束(GB)就是这个方程的渐近解,它在半经典轨迹附近呈指数定域。为了推导该方程的公式,我们用初等方法求出了该方程的半经典渐近解的首项。结果以可以应用于其他向量问题的形式给出。
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Gaussian beams for 2D Dirac equation with electromagnetic field
Gaussian beams for the stationary 2D Dirac equation with inhomogeneous electric and magnetic fields are constructed. Gaussian beams (GB) are such asymptotic solutions of this equation that are exponentially localized near semiclassical trajectories. To derive formulas for the GB, we found the leading term of semiclassical asymptotic solutions of this equation by elementary methods. The results are given in such a form that can be applied to another vector problems.
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