用渐近法确定Herman-Kluk方法中“浅”隧穿区和“深”隧穿区的边界
Determination of the border between "shallow" and "deep" tunneling regions for Herman-Kluk method by asymptotic approach
摘要：
用量子力学的一种准经典方法--赫尔曼-克鲁克方法对隧穿尾进行了渐近分析。在较浅的部分的尾巴，以及在经典允许的区域，它表明，领先的条款的半经典评价的量子理论和赫尔曼-克鲁克公式同意，这是已知的渐近等价。在更深的部分，它表明，渐近等价打破，由于不寻常的“隧道轨迹”的出现，这是一个工件的赫尔曼-克鲁克方法。
英文摘要：
The evaluation of a tunneling tail by the Herman-Kluk method, which is a quasiclassical way to compute quantum dynamics, is examined by asymptotic analysis. In the shallower part of the tail, as well as in the classically allowed region, it is shown that the leading terms of semiclassical evaluations of quantum theory and the Herman-Kluk formula agree, which is known as an asymptotic equivalence. In the deeper part, it is shown that the asymptotic equivalence breaks down, due to the emergence of unusual "tunneling trajectory", which is an artifact of the Herman-Kluk method.
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