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arXiv 0907.2703quant-ph
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关于“量子力学与半经典隧穿和衰变时间”的评论

Comment on "Quantum mechanical versus semiclassical tunneling and decay times"

Robert L. Intemann

摘要:

Shegelski,Kavka和Hynbida已经开发了一种方法,通过使用寿命的启发式表达式来计算最初精确地量子力学定位在势阱中的粒子的寿命<t>。他们的方法允许包含一个束缚态,并且他们通过离心势垒隧穿的结果证明了束缚态在确定寿命方面发挥的主要作用。在这篇评论中,我指出,可以通过计算&lt;t^2&gt;^(1/2)来大大简化分析。当不存在束缚态时,所得结果是精确的。在存在束缚态的情况下,结果只是近似的,但仍然说明了束缚态的存在对寿命的影响。

英文摘要:

Shegelski, Kavka, and Hynbida have developed a method for calculating the lifetime of a particle initially localized in a potential well exactly quantum mechanically by employing a heuristic expression for the lifetime <t>. Their method allows for the inclusion of a bound state, and their results for tunneling through a centrifugal barrier demonstrate the major role that bound states play in determining the lifetime. In this comment, I show that one can greatly simplify the analysis by calculating <t^2>^(1/2) instead. Results obtained are exact when no bound state is present. In the presence of a bound state the results are only approximate but still illustrate the influence that the presence of a bound state has on the lifetime.

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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