Phys. Rev. Lett. 99, 170407 (2007) [4 pages]

Unstable Semiclassical Trajectories in Tunneling

Abstract

References

Citing Articles (6)

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D. G. Levkov¹, A. G. Panin^1,2, and S. M. Sibiryakov^3,1
¹Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary prospect 7a, Moscow 117312, Russia
²Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny 141700, Moscow Region, Russia
³Theory Group, Physics Department, CERN, CH-1211 Geneva 23, Switzerland

Received 3 July 2007; published 26 October 2007

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 ℏ as compared to the case of stable solutions.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.99.170407

DOI:

10.1103/PhysRevLett.99.170407

PACS:

03.65.Xp, 03.65.Sq, 03.75.Lm

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Phys. Rev. Lett. 99, 170407 (2007) [4 pages]

Unstable Semiclassical Trajectories in Tunneling