WKB Theory of Tunneling between Tori
WKB Theory of Tunneling between Tori
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托里之间隧道的 WKB 理论
DOI：
10.1143/ptps.116.295
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
Hiroki Nakamura
中科院分区：
文献类型：
--
作者：
S. Takada;Hiroki Nakamura
建立了环面间多维隧穿的WKB一般理论，给出了多维效应的物理图象。在威尔金森工作的基础上，（1）将经典可达区的Maslov半经典波函数与经典不可达区的Maslov半经典波函数联系起来，（2）将后者传播到深隧穿区。发现存在两个不同的隧穿区域：一个是作用是纯虚的区域（！区域）和另一个作用复杂的区域（C-区域）。进去！区域隧穿路径可以由反势上的某个经典轨迹来定义，而在C区则不能定义隧穿路径，应该进行惠更斯型波的传播。此外，振动激发态的波函数在C区有节线，而在！地区
General WKB theory of multidimensional tunneling between tori is formulated and illuminating physical picture on the effects of multidimensionality is provided. On the basis of Wilkinson's work,(1) Maslov's semiclassical wavefunction in classically accessible region is connected to the wavefunction in classically inaccessible region and (2) the latter is propagated into deep tunneling region. It is found that there exist two distinct regions of tunneling: a region where action is pure imaginary (!-region) and another region where action is complex (C-region). In!-region tunneling path can be defined by a certain classical trajectory on the inverted potential, while inC-region no tunneling path can be defined and the Huygens type wave propagation should be carried out. Moreover, wavefunction of a vibrationally excited state has nodal lines in C-region but not in!-region.