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arXiv 0710.1390cond-mat.mes-hallcond-mat.mtrl-sci
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半导体分层系统中波包的稳相法。该方法的适用性

The Stationary Phase Method for a Wave Packet in a Semiconductor Layered System. The applicability of the method

H. Rodríguez-Coppola, L. Diago-Cisneros, R. Pérez-Álvarez

摘要:

使用Bohm在他的书{ \em“量子理论“}中所做的形式分析,Dover Publications Inc. New York(1979),为了近似地计算通过势垒的透射和反射波包的相位时间,我们计算了由不同介观层形成的半导体系统的相位时间。对透射波包和反射波包进行了分析,并根据波包的平稳相位,讨论了该方法在不同情况下的适用性。对于固定相位法的适用性,在仅取决于相位的导数的透射波的情况下,得到一个表达式,直到三阶。该条件指示系统的参数是否允许通过其前导项来定义波包。一个多屏障系统的情况下显示的结果的说明。这种形式包括使用传递矩阵来描述中心层,无论它是由一个层(单势垒情况)形成的,还是由两个势垒和一个内阱(DBRT系统)形成的,但是可以假设该层可以包括任何数量或任何种类的半导体层。

英文摘要:

Using the formal analysis made by Bohm in his book, {\em "Quantum theory"}, Dover Publications Inc. New York (1979), to calculate approximately the phase time for a transmitted and the reflected wave packets through a potential barrier, we calculate the phase time for a semiconductor system formed by different mesoscopic layers. The transmitted and the reflected wave packets are analyzed and the applicability of this procedure, based on the stationary phase of a wave packet, is considered in different conditions. For the applicability of the stationary phase method an expression is obtained in the case of the transmitted wave depending only on the derivatives of the phase, up to third order. This condition indicates whether the parameters of the system allow to define the wave packet by its leading term. The case of a multiple barrier systems is shown as an illustration of the results. This formalism includes the use of the Transfer Matrix to describe the central stratum, whether it is formed by one layer (the single barrier case), or two barriers and an inner well (the DBRT system), but one can assume that this stratum can be comprise of any number or any kind of semiconductor layers.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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