Representation of Quantum Brownian Motion in the Collective Coordinate Method |
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| Authors: | Oksak A I Sukhanov A D |
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| Institution: | (1) Russian Institute for Correspondence Education in Textile and Light Industry, Moscow, Russia;(2) Peoples' Friendship University of Russia, Moscow, Russia |
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| Abstract: | 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. |
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| Keywords: | quantum Langevin equation string thermostat model temperature representations asymptotic properties of covariation |
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