论文标题

一般(ized)哈特曼效应

General(ized) Hartman effect

论文作者

Hasan, Mohammad, Mandal, Bhabani Prasad

论文摘要

在这封信中,我们明确证明,如果Hartman效应存在任意“单位单元”电位,那么它对于使用相同的“单位电池”电位构建的周期系统也存在。我们进一步表明,如果存在Hartman效应,则在足够厚的“单位电池”电位的限制情况下的隧道时间与其周期系统相同。对于周期系统的连续“单元”之间的中间差距的任何任意值都是如此。因此,使用显示Hartman效应的多个单个电位的多个副本构建的一般电位,始终会发生普遍的HARTMAN效应。

In this letter we prove explicitly that if Hartman effect exists for an arbitrary `unit cell' potential, then it also exist for a periodic system constructed using the same `unit cell' potential repeatedly. We further show that if Hartman effect exists, the tunneling time in the limiting case of a sufficiently thick `unit cell' potential is same as that of its periodic system. This is true for any arbitrary value of the intervening gap between the consecutive `unit cell' of the periodic system. Thus generalized Hartman effect always occurs for a general potential constructed using multiple copies of single potential which shows Hartman effect.

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