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We studied theoretically the excitonic energy levels and the opticalabsorption spectra for double quantum wells, both symmetric and asymmetric, inthe presece of an homogeneous magnetic field. Within the effective massapproach, we expanded the excitonic wave function, in an orthogonal basisformed by products of electron and hole wave functions in the growth directionz, and one particle solutions of the magnetic Hamiltonian in the x-y plane. Weapplied our method to the case of Al_xGa_{1-x}As, for which we showed how theexciton wave function vary, and how the basis functions are mixed in a nontrivial way by the effect of the Coulomb potential. By taking into account allthe mixing between the elements in our base, we get anti-crossing betweenexcited excitonic states not reported previously.Comment: 6 pages, 6 figures, revtex, submitted to Phys Rev

Behavior of excitonic levels in symmetric and asymmetric double quantum wells in a magnetic field