Semiclassical description of harmonic quantal Brownian motion
E. S. Hernández, Horacio M. Cataldo · Physical Review A · 1989
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.