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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 156, Number 3, Pages 425–443
DOI: https://doi.org/10.4213/tmf6257
(Mi tmf6257)
 

This article is cited in 3 scientific papers (total in 3 papers)

Quantum non-Markovian Langevin equations and transport coefficients for an inverted oscillator

V. V. Sargsyana, Z. Kanokovab, G. G. Adamianac, N. V. Antonenkoa

a Joint Institute for Nuclear Research
b National University of Uzbekistan named after M. Ulugbek
c Institute of Nuclear Physics, Academy of Sciences of Uzbekistan
Full-text PDF (783 kB) Citations (3)
References:
Abstract: Based on the non-Markovian quantum Langevin equations, we obtain time-dependent transport coefficients for an inverted oscillator coupled linearly in the coordinate to a thermostat. We comparatively analyze the diffusion coefficients for harmonic and inverted oscillators and study the role of quantum statistical effects in the passage through a parabolic barrier.
Keywords: open quantum system, friction coefficient, diffusion coefficient, non-Markovian dynamics.
Received: 26.03.2007
Revised: 18.06.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 156, Issue 3, Pages 1331–1346
DOI: https://doi.org/10.1007/s11232-008-0110-z
Bibliographic databases:
Language: Russian
Citation: V. V. Sargsyan, Z. Kanokov, G. G. Adamian, N. V. Antonenko, “Quantum non-Markovian Langevin equations and transport coefficients for an inverted oscillator”, TMF, 156:3 (2008), 425–443; Theoret. and Math. Phys., 156:3 (2008), 1331–1346
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6257
  • https://www.mathnet.ru/eng/tmf/v156/i3/p425
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:642
    Full-text PDF :255
    References:85
    First page:10
     
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