title: Time evolution of a Gaussian class of quasi-distribution functions under quadratic Hamiltonian.
abstract: A Lie algebraic method for propagation of the Wigner quasi-distribution function (QDF) under quadratic Hamiltonian was presented by Zoubi and Ben-Aryeh. We show that the same method can be used in order to propagate a rather general class of QDFs, which we call the "Gaussian class." This class contains as special cases the well-known Wigner, Husimi, Glauber, and Kirkwood-Rihaczek QDFs. We present some examples of the calculation of the time evolution of those functions.
authors.forename: D
authors.initials: D
authors.lastname: Ginzburg
authors.forename: A
authors.initials: A
authors.lastname: Mann