\(\Gamma\) 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