\(\Gamma\) 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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