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arXiv 1208.1407cond-mat.mes-hall
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狄拉克电子在质量垒上的散射

Scattering of a Dirac electron on a mass barrier

A. Matulis, M. Ramezani Masir, F. M. Peeters

摘要:

在一维空间中研究了波包(特别是波前)与质量势垒的相互作用。我们讨论了二维波包固有的波包的主要特征,如反射时的压缩、能量低于势垒高度时的穿透、波尾、前兆以及反射和穿透波包的延迟等。这些功能取决于波包包络函数,我们证明了考虑的情况下,一个矩形波包尖锐的前,后边缘和一个光滑的高斯波包。采用傅里叶积分法求非定常解。

英文摘要:

The interaction of a wave packet (and in particular the wave front) with a mass barrier is investigated in one dimension. We discuss the main features of the wave packet that are inherent to two-dimensional wave packets, such as compression during reflection, penetration in the case when the energy is lower than the height of the barrier, waving tails, precursors, and the retardation of the reflected and penetrated wave packets. These features depend on the wave-packet envelope function which we demonstrate by considering the case of a rectangular wave packet with sharp front and trailing edges and a smooth Gaussian wave packet. The method of Fourier integral for obtaining the nonstationary solutions is used.

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