Classical mechanism of multidimensional barrier tunneling
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概要
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Multidimensionalityof systems significantly affects on tunneling phenomenaobserved. In particular, if a system under consideration is classically nonintegrable,very complicated tunneling phenomena, so called chaotic tunneling, are observed.The aim of this short review is to explain the underlying classical mechanism ofmultidimensionalbarrier tunneling by using the semiclassical method based onclassical dynamics extended to the complex domain, i.e. complex semiclassicalmethod. The tunneling probability of multidimensionalbarrier systems is still wellreproduced by using the complex semiclassical method even in the chaotic tunnelingregime, in which a characteristic tunneling phenomenon, i.e. the fringed tunneling,is observed. However the classical trajectories guided by complexified stable andunstable manifolds dominantly contribute to the tunneling probability, which givesquite a different picture of the tunneling from that given by the ordinary instantonmechanism.
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