Brownian motion of a harmonic oscillator in a noninertial reference frame

摘要

The Brownian motion of a charged harmonic oscillator in the presence of additional force fields, such as anconstant magnetic field and arbitrary time-dependent electric and mechanical forces, is studied in a rotationalnreference frame under uniform motion. By assuming an isotropic surrounding medium (a scalar friction constant),nwe solve explicitly the Smoluchowski equation associated with the Langevin equation for the charged harmonicnoscillator and calculate the mean square displacements along and orthogonal to the rotation axis.