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Unstable Semiclassical Trajectories in Tunneling
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Unstable Semiclassical Trajectories in Tunneling

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.

Authors

Levkov DG; Panin AG; Sibiryakov SM

Publication date

July 3, 2007

DOI

10.48550/arxiv.0707.0433

Preprint server

arXiv

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