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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)
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DOI: https://doi.org/10.4213/tmf6257
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://www.mathnet.ru/eng/tmf6257
  • https://doi.org/10.4213/tmf6257
  • https://www.mathnet.ru/eng/tmf/v156/i3/p425
    • This publication is cited in the following 3 articles:
    1. Kuzyakin R.A. Sargsyan V.V. Adamian G.G. Antonenko N.V., “Large-amplitude nuclear motion formulated in terms of dissipation of quantum fluctuations”, Phys. Part. Nuclei, 48:1 (2017), 158–209  crossref  isi  scopus
    2. Sargsyan V.V. Kanokov Z. Adamian G.G. Antonenko N.V., “Application of the theory of open quantum systems to nuclear physics problems”, Phys. Part. Nuclei, 47:2 (2016), 157–205  crossref  mathscinet  isi  elib  scopus
    3. Sargsyan V.V., Kanokov Z., Adamian G.G., Antonenko N.V., “Quantum statistical effects in nuclear reactions, fission, and open quantum systems”, Physics of Particles and Nuclei, 41:2 (2010), 175–229  crossref  adsnasa  isi  scopus  scopus
    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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