Geodesic
Thermorelaxation resonance in the quantum theory of Brownian motion
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 119-126

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The Brownian motion of a quantum particle in a thermal reservoir possessing a finite correlation time $\tau_c$ is considered. Non-Markov Langevin equations for a stationary nonequilibrium state are obtained. At low temperatures $T$ of the thermal reservoir, the correlation time $\tau_c=\hbar/2\pi T$ is fairly long. It is shown that allowance for the damping $\gamma$ of the particle momentum over the correlation times $\tau_c$: $\gamma\tau_c\simeq1$, leads to an oscillating temperature dependence of the relaxation coefficient $\gamma(1/T)$ in the region of low temperatures of the thermal reservoir. 
@article{TMF_1992_92_1_a10,
     author = {A. B. Kuznetsov and A. Yu. Smirnov},
     title = {Thermorelaxation resonance in the quantum theory of {Brownian} motion},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {119--126},
     publisher = {mathdoc},
     volume = {92},
     number = {1},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a10/}
}
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A. B. Kuznetsov; A. Yu. Smirnov. Thermorelaxation resonance in the quantum theory of Brownian motion. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 119-126. http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a10/