Particle-reservoir correlations in quantal Brownian motion

Horacio M. Cataldo

Physica A: Statistical Mechanics and its Applications, 1993, vol. 195, issue 1, 223-238

Abstract: A general study of particle-reservoir correlations in quantal Brownian motion is developed. The non-Markovian character of the analysis requires the application of analytic continuation techniques which yield as a remarkable result general formulae for the analytic continuation of the reduced weak-coupling collision operator. The study focuses upon the mean value of the interaction energy which is shown to evolve according to the particle relaxation frequencies in addition to a set of non-Markovian correlation frequencies. The formalism is applied to a spin j coupled to a magnetic field and in contact (weak-coupling) to a phonon reservoir showing that (i) the reservoir coordinates generally fluctuate on an average in opposite direction to the spin angular momentum and (ii) the set of non-Markovian correlation frequencies is absent.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:195:y:1993:i:1:p:223-238

DOI: 10.1016/0378-4371(93)90265-6

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