Abstract:
The fact that the classical Liouville equation can be analyzed as a dynamical
equation in Hilbert-Koopman (HK) space is used in order to develop a perturbative
method for the wave mechanics in phase space: an explicit solution of the
Liouville equation in qp representation is exhibited. The connection between
the solution obtained and the dynamics of correlations is established by computing
the qp-kp transformation function in HK space. To elucidate the method,
an application is presented and the result compared to that available in the
literature.
