Semiclassical description of harmonic quantal Brownian motion
E. Susana Hernández, Horacio M. Cataldo
By means of the Wigner transformation procedure, we extract a generalized Fokker-Planck equation that represents the semiclassical version of the quantal master equation for Brownian harmonic motion. The Fokker-Planck equation and its solutions are investigated both in the Markovian and in the non-Markovian regimes. The relations between semiclassical and classical Brownian motion of harmonic oscillators are analyzed with special emphasis on the high-friction limit.
Physical Review A•Feb 1, 1989•8 citations