Claudio Fernandez – Systems of Schrödinger equations.

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Date(s) - 5 décembre 2012

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We consider a time-dependent coupled system of Schr ?odinger equations, iut = ??u + V (x,t)u + g(x,t)v ivt = ??v + W(x,t)v + g(x,t)u We establish several result for the solutions of these systems, such as their asymptotic behavior, point spectrum for the corresponding Floquet operator and resonances.