FIZIKA B 1 (1992) 3, 181-196

SECOND ORDER APPROXIMATION TO THE MEAN DISPLACEMENT OF A PARTICLE COUPLED WITH A HEAT BATH AND DRIVEN BY AN EXTERNAL FORCE

GEORGIA C. KOSTAKIS
Physics Department, Hellenic Air Force Academy, Dekelia, Attikis, Greece
CONSTANTIN G. KOSTAKIS
Technological Institute of Pireaus, Egaleo, Athens, Greece

Received 10 March 1992

The interaction of a quantum particle with a heat bath of quantum oscillators under the influence of an external force has been studied and the mean displacement of this particle has been computed up to second order approximation in the propagator. The heat bath has been considered as Brownian and the characteristic frequencies are close to the characteristic frequency of the particle. The mean displacement of the particle has been found to oscillate with time. The temperature dependence of the mean displacement follows an exponential function of e^-1/T.

UDC 530.145

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