275 citations · 1.1k across the 36 of their papers we have counts for
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quant-ph2009★ 2 cited
Long quantum transition times due to unstable semiclassical dynamics
D. G. Levkov, A. G. Panin
Quantum transitions are described semiclassically as motions of systems along (complex) trajectories. We consider the cases when the semiclassical trajectories are unstable and fin…
quant-ph2007★ 20 cited
Unstable Semiclassical Trajectories in Tunneling
D. G. Levkov, A. G. Panin, S. M. Sibiryakov
Some tunneling phenomena are described, in the semiclassical approximation, by unstable complex trajectories. We develop a systematic procedure to stabilize the trajectories and to…
quant-ph2007★ 4 cited
On the over-barrier reflection in quantum mechanics with multiple degrees of freedom
D. G. Levkov, A. G. Panin, S. M. Sibiryakov
We present an analytic example of two dimensional quantum mechanical system, where the exponential suppression of the probability of over-barrier reflection changes non-monotonical…