Unstable Semiclassical Trajectories in Tunneling

Journal Article · Fri Oct 26 00:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.99.170407· OSTI ID:21024347

Levkov, D G ^[1]; Panin, A G ^[1]; Sibiryakov, S M ^[2]

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1. Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary prospect 7a, Moscow 117312 (Russian Federation)
2. Theory Group, Physics Department, CERN, CH-1211 Geneva 23 (Switzerland)

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 ({Dirac_h}/2{pi}) as compared to the case of stable solutions.

• OSTI ID: 21024347
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 17 Vol. 99; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
INSTABILITY
MATHEMATICAL SOLUTIONS
PROBABILITY
SEMICLASSICAL APPROXIMATION
TRAJECTORIES
TUNNEL EFFECT