Bogoliubov type equations via infinite-dimensional equations for measures (Q2882590)

As an introduction, the classical case is considered, when the state is described by a nonnegative measure on the phase space. Then, the Wigner measure is defined, and its properties and evolution equation are reviewed. Based on the similarity of the Liouville equation and that one based on the Wigner measure, quantum analogues are formulated, and their classical relationship is studied. A Poincaré model is then discussed for the irreversible case, and the observation is made that it is symmetrical with respect to time evolution.NEWLINENEWLINEFor the entire collection see [Zbl 1234.81012].