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 |

© 2021, Lei Ma | Created with Sphinx and . | Source on GitHub | Physics Notebook Datumorphism | Index | Page Source