2007/07/31 by D. G. Levkov, A. G. Panin, S. M. Sibiryakov · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #cond-mat.stat-mech #hep-th #math-ph #math.MP #nlin.CD #physics.chem-ph
paper · pdf · doi:10.1103/physrevlett.99.170407
published as Phys.Rev.Lett.99:170407,2007 · Journal version; 4 pages, 2 figures
arxiv created 2007/11/06 · arxiv updated 2016/09/08
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.