# $$\Gamma$$ Space and $$\mu$$ Space¶

## Two Spaces¶

Here we have a table comparing the two spaces: $$\Gamma$$ space and $$\mu$$ space. (More about $$\mu$$ space and $$\Gamma$$ space, Description of the Microstates.)

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

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