Unstable Semiclassical Trajectories in Tunneling

Details Unstable Semiclassical Trajectories in Tunneling Unstable Semiclassical Trajectories in Tunneling

2007-07-03

arxiv.org/abs/0707.0433v2

Phys.Rev.Lett.99:170407,2007

Physics

Quantum Physics

Journal version; 4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.99.170407

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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