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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf6257https://doi.org/10.4213/tmf6257 https://www.mathnet.ru/eng/tmf/v156/i3/p425
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Abstract page: | 656 | Full-text PDF : | 259 | References: | 86 | First page: | 10 |
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