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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1985 Volume 64, Number 2, Pages 233–244 (Mi tmf4985)

This article is cited in 17 papers

Resonance tunneling through a nonstationary potential

D. G. Sokolovskii, M. Yu. Sumetsky


Abstract: In the first order of semiclassical perturbation theory, with allowance for many-quantum transitions, a study is made of resonance tunneling through a two-hump nonstationary potential. The problem is reduced to the solution of a functional equation for the transmission probability amplitude. This equation is solved in general form for the case of nonresonance tunneling. A condition of suppression of resonance by nonstationary effects is obtained. The transmission amplitude is found in the case when the twohump potential oscillates as a whole. Periodic, quasiperiodie, and random nonstationary perturbations are considered.

Received: 12.12.1983
Revised: 30.11.1984


 English version:
Theoretical and Mathematical Physics, 1985, 64:2, 802–810

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© Steklov Math. Inst. of RAS, 2026