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Résumé : Here we consider the time evolution of a one-dimensional quantum system with a double barrier given by a couple of two repulsive Dirac's deltas. In such a "pedagogical" model we give, by means of the theory of quantum resonances, the explicit expression of the dominant terms of $<ψ, e^{-it H} φ>$, where $H$ is the double-barrier Hamiltonian operator and where $ψ$ and $φ$ are two test functions.