Quantum Brownian motion

Irwin Oppenheim and Victor Romero-Rochin

Physica A: Statistical Mechanics and its Applications, 1987, vol. 147, issue 1, 184-202

Abstract: Techniques for deriving the equations of motion for a heavy particle immersed in a bath of light particles have been developed for quantum systems as long as the temperature is not too low. To lowest order we obtain a Langevin equation for the momentum of the heavy particle and a Fokker-Planck equation for the reduced Wigner function of the position and momentum of the heavy particle. Unlike previous schemes, higher order corrections to these equations can be obtained in a systematic fashion.

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:147:y:1987:i:1:p:184-202

DOI: 10.1016/0378-4371(87)90105-1

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