Geodesic
Quantum non-Markovian Langevin equations and transport coefficients
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 3, pp. 425-443

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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, non-Markovian dynamics.
Mots-clés : friction coefficient, diffusion coefficient 
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     author = {V. V. Sargsyan and Z. Kanokov and G. G. Adamian and N. V. Antonenko},
     title = {Quantum {non-Markovian} {Langevin} equations and transport coefficients},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_156_3_a7/}
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V. V. Sargsyan; Z. Kanokov; G. G. Adamian; N. V. Antonenko. Quantum non-Markovian Langevin equations and transport coefficients. Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 3, pp. 425-443. http://geodesic.mathdoc.fr/item/TMF_2008_156_3_a7/