Dynamics Underlying the Gaussian Distribution of the Classical Harmonic Oscillator in Zero-Point Radiation

Figure 9

Radiation damping and Heisenberg’s minimum uncertainty relation. Under the balance between vacuum field driving and the radiation damping, the trajectory of the SED harmonic oscillator (black) satisfies the Heisenberg minimum uncertainty relation. When the radiation damping is turned off in the simulation (red and blue), the minimum uncertainty relation no longer holds, although the range of the particle’s motion is still bounded by the harmonic potential.