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2007

Unstable Semiclassical Trajectories in Tunneling

Levkov, D. G., Panin, A. G., Sibiryakov, S. M.

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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.

Unstable Semiclassical Trajectories in Tunneling · Around

Built on

W.H. Miller, Adv. Chem. Phys. 25
1974
Earlier work this paper cites.
S. Levit and U. Smilansky, Ann. Phys. 103
1977
Earlier work this paper cites.
Tunneling in complex systems
1998
Earlier work this paper cites.
Unstable semiclassical solutions in a different context were studied in P.B. Wilkinson et al
1998
Earlier work this paper cites.

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Then

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Later among the works it cites.
F. Bezrukov, D. Levkov, C. Rebbi, V.A. Rubakov and P. Tinyakov, Phys. Rev. D 68
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