Abstract: There are some differences and connections between classical statistics and quantum

statistics，and they can be converted to each other under certain conditions. The harmonic

oscillator model is very important in physics，for example，the movement of the harmonic

oscillator state description，energy，and the uncertainty princi- ple，spatial distribution and

probability distribution of the two kinds of statistical methods are compared and summa-

rized，respectively. The classical statistics of harmonic oscillator and the similarities and

differences with quantum statistical distribution are deepened to the further understanding of

quantum dynamics behavior and cognition.

Key words: harmonic oscillator model, classical statistical distribution, quantum statistical distribution