Parametric amplification versus collisions: An illustrative application

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We investigate the time dependence of the quantum statistical model with $λϕ^4/4!$ self-interaction and consider the resulting induced particle number density. For a special example in which the classical approximation exhibits parametric resonance, the effects of the back reaction and especially of collisions, treated in a perturbative way, are analysed.
LaTeX, 9 pages, 7 figures

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