D. G. Sokolovskii, M. Yu. Sumetsky, “Resonance tunneling through a nonstationary potential”, TMF, 64:2 (1985), 233–244; Theoret. and Math. Phys., 64:2 (1985), 802

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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 64, Number 2, Pages 233–244 (Mi tmf4985)

This article is cited in 17 scientific papers (total in 17 papers)

Resonance tunneling through a nonstationary potential

D. G. Sokolovskii, M. Yu. Sumetsky

Full-text PDF (997 kB) Citations (17)

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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, Volume 64, Issue 2, Pages 802–810
DOI: https://doi.org/10.1007/BF01017960

Bibliographic databases:

Language: Russian

Citation: D. G. Sokolovskii, M. Yu. Sumetsky, “Resonance tunneling through a nonstationary potential”, TMF, 64:2 (1985), 233–244; Theoret. and Math. Phys., 64:2 (1985), 802–810

Citation in format AMSBIB

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\paper Resonance tunneling through a~nonstationary potential

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\pages 233--244

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\jour Theoret. and Math. Phys.

\yr 1985

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\pages 802--810

\crossref{https://doi.org/10.1007/BF01017960}

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Linking options:

https://www.mathnet.ru/eng/tmf4985

https://www.mathnet.ru/eng/tmf/v64/i2/p233

This publication is cited in the following 17 articles:

Valentina Ros, Markus Müller, “Fluctuation-driven transitions in localized insulators: Intermittent metallicity and path chaos precede delocalization”, Phys. Rev. B, 104:9 (2021)
S. Longhi, S. A. R. Horsley, G. Della Valle, “Scattering of accelerated wave packets”, Phys. Rev. A, 97:3 (2018)
V. F. Elesin, “Transient processes in two-barrier nanostructures”, J. Exp. Theor. Phys., 118:6 (2014), 951
Chuenkov V.A., “On the Feasibility of High-Frequency Radiation Generation in Two-Barrier Rtd Structures with Asymmetric Barriers of Finite Height and Width”, Bull. Lebedev Phys. Inst., 40:7 (2013), 191–197
Chuenkov V.A., “Dynamic Characteristics of Double-Barrier Nanostructures with Asymmetric Barriers of Finite Height and Widths in a Strong Ac Electric Field”, Semiconductors, 47:12 (2013), 1641–1651
V. F. Elesin, “Resonant tunneling of interacting electrons in an AC electric field”, J. Exp. Theor. Phys., 117:5 (2013), 950
G. Murillo, P. A. Schulz, J. C. Arce, “Reversible electron pumping and negative differential resistance in two-step barrier diode under strong terahertz ac field”, Applied Physics Letters, 98:10 (2011)
V. Kontorin, “On approximate quasi-classical representations of transition probabilities in nonstationary problems of quantum mechanics”, Comput. Math. Math. Phys., 45:6 (2005), 1086–1094
V. F. Elesin, “Resonant tunneling and a nonlinear response in RF fields”, J. Exp. Theor. Phys., 97:2 (2003), 343
C. Pérez del Valle, R. Lefebvre, O. Atabek, “Transfer-matrix formulation of field-assisted tunneling”, Phys. Rev. A, 59:5 (1999), 3701
M. Sumetskiǐ, “Forming of wave packets by one-dimensional tunneling structures having a time-dependent potential”, Phys. Rev. B, 46:8 (1992), 4702
Peter Johansson, Göran Wendin, “Tunneling through a double-barrier structure irradiated by infrared radiation”, Phys. Rev. B, 46:3 (1992), 1451
M. Sumetskii, “Photon-assisted resonant tunneling through a double quantum well structure: nanometer infrared tunable detector”, Physics Letters A, 153:2-3 (1991), 149
D. Sokolovski, “Resonance tunneling in a periodic time-dependent external field”, Phys. Rev. B, 37:8 (1988), 4201
D. G. Sokolovskii, “Quantum time of flight and the adiabatic limit in scattering processes”, Soviet Physics Journal, 31:3 (1988), 217
D Sokolovski, “The transparency of a double barrier in a time-dependent external field”, J. Phys. C: Solid State Phys., 21:3 (1988), 639
D. Sokolovski, L. M. Baskin, “Traversal time in quantum scattering”, Phys. Rev. A, 36:10 (1987), 4604

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	54
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