Unstable Semiclassical Trajectories in Tunneling
arXiv:0707.0433 · doi:10.1103/PhysRevLett.99.170407
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.
Journal version; 4 pages, 2 figures
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