Quantum resonances and time decay for a double-barrier model

Here we consider the time evolution of a one-dimensional quantum system with a double barrier given by a couple of two repulsive Diracs 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-itH φ〉, where H is the double-barrier Hamiltonian operator and where ψ and f are two test functions.