Geodesic
Representation of Quantum Brownian Motion in the Collective Coordinate Method
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 1, pp. 115-147

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We consider two explicitly solvable models of quantum random processes described by the Langevin equation, namely, those for a “free” quantum Brownian particle and for a quantum Brownian harmonic oscillator. The Hamiltonian (string) realization of the models reveals a soliton-like structure of “classical” solutions. Accordingly, the zero-mode collective coordinate method turns out to be an adequate means for describing the quantum dynamics of the models.
Keywords: quantum Langevin equation, string thermostat model, temperature representations, asymptotic properties of covariation. 
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     author = {A. I. Oksak and A. D. Sukhanov},
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A. I. Oksak; A. D. Sukhanov. Representation of Quantum Brownian Motion in the Collective Coordinate Method. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 1, pp. 115-147. http://geodesic.mathdoc.fr/item/TMF_2003_136_1_a7/