# $$\Gamma$$ Space and $$\mu$$ Space¶

## Two Spaces¶

To get some easy equations we need to reduce from $$\Gamma$$ space to $$\mu$$ space.

Two Spaces $$\Gamma$$ space $$\mu$$ space
Dimensions $$6 N$$ $$6$$
State of system A point $$N$$ points
Probability density $$\rho(q^n_i, p^n_i; t)$$ | $$f_n(q_i,p_i; t)$$
Observables Difference in the integration
EoM Liouville equation or Von Neumann equation BBGKY Hierarchy