Comment on “The quantum mechanics of electric conduction in crystals,” by R. J. Olsen and G. Vignale [Am. J. Phys.78 (9), 954–960 (2010)]
Comment on “The quantum mechanics of electric conduction in crystals,” by R. J. Olsen and G. Vignale [Am. J. Phys.78 (9), 954–960 (2010)]
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DOI：
10.1119/1.3549205
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发表时间：
2011-04
影响因子：
0.9
通讯作者：
M. S. Bianchi
中科院分区：
文献类型：
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作者：
M. S. Bianchi
在本文中，我们使用时延的概念来解释由于电势位移而导致的传输和反射幅度的变换特性的物理内容。然后，我们重新考虑 Olsen 和 Vignale 最近对有限周期势的散射问题的分析，以获得无限数量单元限制下的全反射条件。在此过程中，我们获得了哈特曼效应的表达式，表明当细胞数量趋于无穷大时，势链内传输粒子的群速度可以变得任意大。
In this note we use the notion of time-delay to explain the physical content of the transformation properties of transmission and reflection amplitudes, as a result of a displacement of the potential. Then, we reconsider the recent analysis of the scattering problem by a finite-periodic potential, by Olsen and Vignale, to obtain the total reflection condition in the limit of an infinite number of cells. In doing this, we obtain an expression of Hartman's effect, showing that the group velocity of the transmitted particle inside the potential chain can become arbitrary large, as the number of cells tends to infinity.