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dc.contributor.authorBiałas, Paweł-
dc.contributor.authorŁuczka, Jerzy-
dc.identifier.citationEntropy, Iss. 20 (2018), art. no. 123pl_PL
dc.description.abstractWe consider a paradigmatic model of a quantum Brownian particle coupled to a thermostat consisting of harmonic oscillators. In the framework of a generalized Langevin equation, the memory (damping) kernel is assumed to be in the form of exponentially-decaying oscillations. We discuss a quantum counterpart of the equipartition energy theorem for a free Brownian particle in a thermal equilibrium state. We conclude that the average kinetic energy of the Brownian particle is equal to thermally-averaged kinetic energy per one degree of freedom of oscillators of the environment, additionally averaged over all possible oscillators’ frequencies distributed according to some probability density in which details of the particle-environment interaction are present via the parameters of the damping kernel.pl_PL
dc.rightsUznanie autorstwa 3.0 Polska*
dc.subjectquantum Brownian motionpl_PL
dc.subjectkinetic energypl_PL
dc.subjectequipartition theorempl_PL
dc.titleKinetic energy of a free quantum Brownian particlepl_PL
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