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 inqp representation is exhibited. The connection between the solution obtained and the dynamics of correlations is established by computing theqp-kp transformation function in HK space. To elucidate the method, an application is presented and the result compared to that available in the literature.
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Santana, A.E., Neto, A.M. & Vianna, J.D.M. A propagator theory applied to wave mechanics in phase space. Int J Theor Phys 28, 787–796 (1989). https://doi.org/10.1007/BF00669822
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DOI: https://doi.org/10.1007/BF00669822