Quantum resonances and time decay for a double-barrier model

preprint2014arXivOpen access

Abstract

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−itHϕ><ψ, e^{-it H} ϕ>, where HH is the double-barrier Hamiltonian operator and where ψψ and ϕϕ are two test functions.

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