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arXiv · 0707.0433

Unstable Semiclassical Trajectories in Tunneling

D. G. Levkov·A. G. Panin·S. M. Sibiryakov
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Abstract

Some tunneling phenomena are described, in the semiclassical approximation, by unstable complex trajectories. We develop a systematic procedure to stabilize the trajectories and to calculate the tunneling probability, including both the suppression exponent and prefactor. We find that the instability of tunneling solutions modifies the power-law dependence of the prefactor on h as compared to the case of stable solutions.

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D. G. Levkov, A. G. Panin, S. M. Sibiryakov. 2007-11-06. Unstable Semiclassical Trajectories in Tunneling. https://doi.org/10.1103/physrevlett.99.170407

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