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arXiv · 1404.4103

Time evolution of a Gaussian class of quasi-distribution functions under quadratic Hamiltonian

Dimitry Ginzburg·Ady Mann
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Abstract

A Lie algebraic method for propagation of the Wigner quasi-distribution function 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 quasi distribution functions, which we call "Gaussian class". This class contains as special cases the well-known Wigner, Husimi, Glauber and Kirkwood-Rihaczek quasi-distribution functions. We present some examples of the calculation of the time-evolution of those functions.

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Dimitry Ginzburg, Ady Mann. 2014-04-15. Time evolution of a Gaussian class of quasi-distribution functions under quadratic Hamiltonian. https://doi.org/10.1364/ao.53.001648

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