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 
© 2020, Lei Ma  Created with Sphinx and .  Source on GitHub  Physics Notebook Datumorphism  Index  Page Source