\(\Gamma\) 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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