The mathematical analogy of classical and matter waves can help to teach the elusive subject of tunneling times in undergraduate physics courses. The tunneling of mechanical energy through a taut string is revisited in this paper in order to study tunneling times for this classical system. General properties of the group delay, the dwell time and the interference time are described. Moreover, we explain how to build string arrays with piecewise constitutive parameters that behave like quantum mechanical heterostructures with alternating well and barrier layers. The paradoxical Hartman effect is also analyzed.

中文翻译：

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绷紧的弦中的隧道时间

古典波和物质波的数学类比可以帮助教授本科物理课程中难以捉摸的隧穿时间主题。为了研究该经典系统的隧穿时间，本文重新探讨了通过拉紧的弦的机械能隧穿。描述了群时延，驻留时间和干扰时间的一般属性。此外，我们解释了如何构建具有分段本构参数的字符串数组，这些参数的行为类似于具有交替的阱层和势垒层的量子机械异质结构。还分析了自相矛盾的哈特曼效应。