Abstract
Chaotic tunneling occurring in the standard map, which is one of the most familiar paradigms in simple chaotic mappings, is analyzed in terms of complex semiclassical theory in the time domain. It is shown that the complex classical trajectories successfully describe the transition to the region where the real classical path cannot reach. In connection with our previous result (Physica D115 (1998), 234), the universality of the organizing rule to find out dominantly contributing complex paths is suggested. Several fundamental problems in the treatment of semiclassical theory in the complex domain are also discussed.
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