Unstable Semiclassical Trajectories in Tunneling
Quantum Physics
2016-09-08 v2 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Chaotic Dynamics
Chemical Physics
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.
Cite
@article{arxiv.0707.0433,
title = {Unstable Semiclassical Trajectories in Tunneling},
author = {D. G. Levkov and A. G. Panin and S. M. Sibiryakov},
journal= {arXiv preprint arXiv:0707.0433},
year = {2016}
}
Comments
Journal version; 4 pages, 2 figures